Browse Transformations problems Studdy Solved!

Problem 201

Reflect the point $S(0,2)$ over the $x$ -axis. What are the coordinates of $S^{\prime}$ ?

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Problem 202

Reflect the point $T(-3,2)$ over the $y$ -axis. What are the coordinates of $T^{\prime}$ ?

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Problem 203

What is the scale of Paco's drawing if the longest side is 5 inches and the original is 10 inches with a length of 4 in. : 5 yd?

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Problem 204

B) Une cuve a un observateur à $\mathrm{O}$ (1.20 m au-dessus de AB) et un poisson à $\mathrm{P}$ (0.80 m en dessous).
3) Quelle distance l'observateur pense-t-il voir le poisson ? Quelle distance le poisson voit-il l'observateur ?
4) Avec un miroir au fond (CD) et une épaisseur d'eau $\mathrm{e}=1.20 \mathrm{~m}$ , à quelle distance l'observateur voit-il son image ?
Comment cela change-t-il si l'eau s'écoule ?

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Problem 205

A regular pentagon is shown below. Line $g$ passes through a vertex and bisects a side. Line $h$ passes through two vertices. Point $Y$ is the center of the pentagon.
Which transformation(s) must map the pentagon exactly onto itself? Choose all that apply. Reflection across line $g$ Reflection across line $h$ Counterclockwise rotation about $Y$ by $288^{\circ}$ Clockwise rotation about $Y$ by $60^{\circ}$ None of the above Explanation Check

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Problem 206

An equilateral triangle is shown below. Line $m$ passes through a vertex and bisects a side. Line $n$ bisects each side it passes through. Point $Y$ is the center of the triangle.
Which transformation(s) must map the triangle exactly onto itself? Choose all that apply. Counterclockwise rotation about $Y$ by $120^{\circ}$ Reflection across line $m$ Clockwise rotation about $Y$ by $360^{\circ}$ Reflection across line $n$ None of the above

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Problem 207

A regular pentagon is shown below. Line $c$ bisects each side it passes through. Line $d$ passes through a vertex and bisects a side. Point $X$ is the center of the pentagon.
Which transformation(s) must map the pentagon exactly onto itself? Choose all that apply. Clockwise rotation about $X$ by $120^{\circ}$ Reflection across line $d$ Reflection across line $c$ Counterclockwise rotation about $X$ by $180^{\circ}$ None of the above Explanation Check

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Problem 208

An equilateral triangle is shown below. Line $m$ passes through a vertex and bisects a side. Line $n$ bisects each side it passes through. Point $P$ is the center of the triangle.
Which transformation(s) must map the triangle exactly onto itself? Choose all that apply. Reflection across line $n$ Reflection across line $m$ Clockwise rotation about $P$ by $360^{\circ}$ Counterclockwise rotation about $P$ by $240^{\circ}$ None of the above Explanation Check

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Problem 209

In the coordinate plane, the point $A(-2,2)$ is translated to the point $A^{\prime}(0,3)$ . Under the same translation, the points $B(1,5)$ and $C(-5,0)$ are translated to $B^{\prime}$ and $C^{\prime}$ , respectively. What are the coordinates of $B^{\prime}$ and $C^{\prime}$ ? B. (1) c.(1)

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Problem 210

EXERCICE 3: ABC un triangle rectangle en B tel que $\mathrm{BC}=3,5 \mathrm{~cm}$ M le symétrique de $\mathbf{B}$ par rapport à ( AC ).soit $\mathbf{O}$ appartiennent a ( AB ) 1) Construire une figure convenable aux données 2) Déterminer .en justifiant, la longucur MC 3) Démontrer que le triangle MAC est rectangle en M. 4) Construire le point J symétrique de point O par rapport a (AC)
Démontrer que les points $\mathbf{A}, \mathbf{J}$ et $\mathbf{M}$ sont alignés.

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Problem 211

Triangle $A B C$ is dilated to produce triangle $A^{\prime} B^{\prime} C^{\prime}$ .
Determine the scale factor used to create the image. $\frac{1}{3}$

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Problem 212

What rotation must the driver gear make for gear $A$ to rotate $90^{\circ}$ clockwise? Explain how you found your answer.
If gear A rotates $90^{\circ}$ , then it turns through $\square$ teeth on the gear. This corresponds to $\square$ teeth on the driver gear, which has 16 teeth in total. So, the driver gear must make a rotation of $\square$ $\square$ (Type whole numbers.)

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Problem 213

Explain the relationship between the graphs of $g(x) = x^{2} + 1$ and $f(x) = x^{2}$ .

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Problem 214

2 Quadrilateral QRST is transformed by the rule $(x, y) \rightarrow(-x, y)$ to create quadrilateral $Q^{\prime} R^{\prime} S^{\prime} T^{\prime}$ . a) How are the corresponding side lengths affected by the transformation?
The Corresponaling b) How are the corresponding angles affected by the transformation? $\qquad$ continue $\qquad$ d) How is the area of the quadrilateral affected? e) How is the perimeter of the quadrilateral affected?

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Problem 215

2 Quadrilateral QRST is transformed by the rule $(x, y) \rightarrow(-x, y)$ a) How are the corresponding side lengths affected by the transformation?
The Corresponaling b) How are the corresponding angles affected by the transformation? $\qquad$ De c) How is the orientation of the quadrilateral affected? $\qquad$ reversed d) How is the area of the quadrilateral affected? e) How is the perimeter of the quadrilateral affected?

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Problem 216

2 The coordinate grid shows triangle $P Q R$ . 8.10ABD. 3
Triangle $P Q R$ is rotated $270^{\circ}$ clockwise about the origin to create triangle $P^{\prime} Q^{\prime} R^{\prime}$ . Choose the correct answer from each drop-down menu to complete the statements.
The side lengths of triangle $P^{\prime} Q^{\prime} R^{\prime}$ are $\square$ to the corresponding side lengths of triangle $P Q R$ . $\checkmark$ equal not equal
The angle measures of triangle $P^{\prime} Q^{\prime} R^{\prime}$ are $\square$ to the corresponding angle measures of triangle $P Q R$ . congruent not congruent 03034 N 至

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Problem 217

10 Quadrilateral $A B C D$ is reflected over the $x$ -axis to create quadritateral $A^{\prime} B^{\prime} C^{\prime} D^{\prime}$ . Which statement is true? 8.10ABD. 2
F The area of quadrilateral $A^{\prime} B^{\prime} C^{\prime} D^{\prime}$ is greater than the area of quadrilateral $A B C D$ .
G Quadrilateral $A^{\prime} B^{\prime} C^{\prime} D^{\prime}$ is not congruent to quadrilateral $A B C D$ . H The perimeter of quadrimateral $A^{\prime} B^{\prime \prime} C^{\prime} D^{\prime}$ is greater than the perimeter of quadritateral ABCD.
3 The corresponding side lengths of quadrilateral $A^{\prime} B^{\prime} C^{\prime} D^{\prime}$ are equal to the corresponding side lengths of quadrilateral $A B C D$ .

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Problem 218

3 fentagan JKLMN was transtated 8 unlits to the left and 7 units up to creatre pentagon Jok M'N: Which rule describes this transformation? A The perimeter of pentagon JKL'M"N" is grater than the perimeter of pentagon JKLMN. (3) The area of pentagon J'K' 'MN' is less than the area of pentagon JKLMN.
C The angle measures of pentagon J'K'L M'N' are not congruent to the corresponding angle measures of pentagon JKLMN.
D The orientation of the vertices of pentagon $J^{\prime} K L^{\prime} M^{\prime} N^{\prime}$ Is the same as the orientation of the vertices of pentagon JKLMN.

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Problem 219

$\square$ Submit

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Problem 220

4) Select all that apply.
The coordinates of a triangle are $(0,0),(3,3)$ , and $(4,-4)$ . Find the coordinates of the translated triangle if it is moved 6 units to the right and 5 units down.

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Problem 221

14. Pricrice suppose a trilangle wros ditated by a seale factor of s whith cemter of ailations? and the image of that diation was oivated by a scale factor of it with center of slation still at $P$ , What single tranisformation would havis the same effect on the originad triangle? luselfy your answer with an harge.

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Problem 222

vs Similarity
Question Show Examples
Triangle HIJ is dilated by a scale factor of $\frac{2}{3}$ to form triangle H'I'J'. What is the measure of side I'J'? Answer Attempt 1 out of 3

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Problem 223

Find the new coordinates of point $N$ after dilating triangle $M N O$ by a factor of 3 from the origin, given $N(4,6)$ .

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Problem 224

Draw a line perpendicular to line $\ell$ at point $A$ . Identify line $\ell$ and point $A$ from the diagram.

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Problem 225

Translate the point (1,-6) by 2 units right and 6 units down. Show your work.

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Problem 226

Find the translation from point $Q(-9,-5)$ to $Q^{\prime}(-2,-8)$ as $\langle x, y \rangle$ .

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Problem 227

Find the translation from point $Q(-9,-5)$ to $Q^{\prime}(-2,-8)$ as $\langle x, y\rangle$ . Show your work.

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Problem 228

Find the translation from $Q(3,6)$ to $Q^{\prime}(9,3)$ as $\langle x, y\rangle$ . Show your work.

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Problem 229

Figure 1 A sled of mass $m$ slides down a rough ramp with a constant speed $v_{0}$ . The angle between the ramp and the horizontal is $\theta$ , as shown in Figure 1. The ramp smoothly transitions to a horizontal surface. The coefficients of static and kinetic friction between the sled and the ramp are $\mu_{s}$ and $\mu_{b}$ respectively. The ramp and the horizontal surface are made of identical materials. (a) The dot in Figure 2 represents the sled when the sled is sliding down the ramp at a constant speed. Draw and label arrows that represent the forces (not components) that are exerted on the sled. Each force in your free-body diagram must be represented by a distinct arrow starting on, and pointing away from the dot.

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Problem 230

What are the coordinates of $R^{\prime}$ for the dilation $D_{(0.5, P)}$ ( $\left.\square P Q R S\right)$ ? ( 3 pts.)
3 $\square$ 4 $\square$ )

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Problem 231

1. A reflection over the $x$ -axis maps $\triangle A B C$ to $\triangle A^{\prime} B^{\prime} C^{\prime}$ . Do the preimage and image have the same size and shape? Explain. Find a congruence transformation that maps $\triangle R S T$ to $\triangle U V W$ . 2. 3.

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Problem 232

Which sequence of transformations produces an image that is not congruent to the original figure? A. A translation of 6 units to the left followed by a reflection across the $x$ -axis B. A reflection across the $x$ -axis followed by a rotation of $180^{\circ}$ counterclockwise C. A rotation of $90^{\circ}$ clockwise followed by a translation of 4 units to the left D. A translation of 4 units to the left followed by a dilation of a factor of 3

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Problem 233

Parallelogram $A B C D$ has vertex coordinates $A(0,1), B(1,3), C(4,3)$ , and $D(3$ , 1). It is translated 2 units to the right and 3 units down and then rotated $180^{\circ}$ clockwise around the origin. What are the coordinates of $A$ ? A. $(-2,2)$ B. $(-4,-3)$ C. $(-3,-4)$ D. $(5,2)$

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Problem 234

What shape is generated when rectangle $A B C D$ is rotated around the vertical line through $A$ and $D$ ? A. Pyramid B. Prism C. Cylinder D. Cone

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Problem 235

Under a dilation, the point $(-3,-4)$ is moved to $(-15,-20)$ . What is the scale factor of the dilation? Enter your answer in the box. $\square$ 12 Type here to search

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Problem 236

1. Complete the following curve of the even function $f$ defined on $I R$

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Problem 237

(a) The graph of $y=f(x)$ is shown. Draw the graph of $y=f(-x)$ . (b) The graph of $y=g(x)$ is shown. Draw the graph of $y=-g(x)$ .

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Problem 238

Find the length of segment $\overline{A^{\prime} B^{\prime}}$ after dilating $\overline{AB}$ with A(1,15), B(10,3) by $\frac{2}{3}$ .

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Problem 239

Scale a polygon with sides 3, 1, 2, 1, and 2 units to a perimeter of 30 units. Find the scale factor and explain your reasoning.

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Problem 240

1. Each point $A$ is mapped to point $A^{\prime}$ by a dilation centered at the origin with the given scale factor. Complete the table. \begin{tabular}{c|c|c} Coordinates of $\boldsymbol{A}$ & Scale Factor & Coordinates of $\boldsymbol{A}^{\prime}$ \\ \hline $(-4,-2)$ & 3 & \\ \hline $(6,-4)$ & $\frac{1}{2}$ & \\ \hline $(-5,3)$ & 4 & \\ \hline \end{tabular}

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Problem 241

2. [4 pts] In the diagram below, $\triangle A B C$ has coordinates $A(1,1), B(4,1)$ , and $C(4,5)$ . Graph and label $\triangle A^{\prime \prime} B^{\prime \prime} C^{\prime \prime}$ , the image of $\triangle A B C$ after the translation five units to the right and two units up followed by the reflection over the line $y=0$ . [Unit 2, Unit 5]

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Problem 242

40 Trapezold EFGH will be reflected across the $y$ -axis. What will be the resulting coordinate of Point $H^{\prime}$ ? wucan earn 5 coins $(5,-4)$ $(-4,-3)$ $(-5,-2)$ $(5,-2)$

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Problem 243

Use transformations to graph the function. $q(x)=-(x+2)^{2}+5$

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Problem 244

Translate the vertices A(2,-6), B(-1,-1), C(-3,-5) by $(x, y) \rightarrow (x+3, y+5)$ . Find A', B', C'.

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Problem 245

A translation moves point $V(-2,3)$ to $V^{\prime}(-2,7$ . Identify true statements about the translation.

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Problem 246

Find new coordinates of vertices $M'$ , $P'$ , $Q'$ , and $V'$ after a $270^{\circ}$ rotation of parallelogram $MPQV$ around $(-5,-10)$ .

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Problem 247

2. Identify the angle of rotational symmetry for the figure below.

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Problem 248

Which series of transformations will return the rectangle to its original position?
Select the three correct answers.
a reflection along one diagonal followed by a reflection along the other diagonal
a $90^\circ$ clockwise rotation about one vertex followed by a reflection along one of the short sides
a $90^\circ$ clockwise rotation about the intersection of the diagonals followed by a second $90^\circ$ clockwise rotation about the intersection of the diagonals
a reflection along one of the long sides followed by a second reflection along that same side
a reflection along one of the short sides followed by a $180^\circ$ rotation about one of the vertices of the previously reflected short side

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Problem 249

Trapezoid $MIND$ is dilated to form trapezoid $M'N'I'D'$ as shown. Is each statement true or false? Select True or False in each row.
The measure of angle $I'$ is $90^\circ$ ; therefore, the measure of angle $I$ is $90^\circ$ .
The ratio of $MD$ to $M'D'$ is $\frac{1}{2}$ times the ratio of $IN$ to $I'N'$ .
The length of $D'N'$ is $\frac{1}{2}$ times the length of $DN$ .
The ratio of $IM$ to $I'M'$ is equal to the ratio of $ND$ to $N'D'$ .
The sum of the angle measures of trapezoid $MIND$ is $\frac{1}{2}$ the sum of the angle measures of trapezoid $M'N'I'D'$ .

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Problem 250

the dilation?

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Problem 251

$K'L'M'N'$ is a dilation of the trapezoid $KLMN$ . What is the scale factor of the dilation? Simplify your answer and write it as a proper fraction, an improper fraction, or a whole number.

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Problem 252

For each figure below, determine if it has rotational symmetry. If it does, give the smallest angle of rotation needed for the figure to appear unmoved. Rotational symmetry? Yes No Angle? Rotational symmetry? Yes No Angle?

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Problem 253

Quelle est l'allure du champ magnétique d'un aimant droit? Est-ce que le résultat obtenu e conforme à votre hypothèse de départ?

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Problem 254

$A2.6$ Le rectangle ABCD est une partie de l'agrandissement de transformation. Effectue une rotation du rectangle ABCD de 90° autour du point $(-4, 2)$ dans le sens antihoraire.

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Problem 255

A plane intersects a double-napped cone to form a circle. Assume the plane moves parallel to its original position. Describe what happens to the circle that is formed when the plane moves further away from the vertex.
The radius of the circle decreases so the circle is smaller The radius of the circle increases so the circle is larger The radius of the circle becomes infinitely small the circle disappears The radius of the circle becomes infinitely small so a point is formed

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Problem 256

Select all sequences of transformations that would show that triangles $ABC$ and $AED$ are similar. The length of $\overline{AC}$ is 6 units.
A. Dilate $\triangle ABC$ using center $A$ by a scale factor of $\frac{1}{2}$ , then reflect over $\overleftrightarrow{AC}$ . B. Dilate $\triangle AED$ using center $A$ by a scale factor of 2, then reflect over $\overleftrightarrow{AC}$ . C. Reflect $\triangle ABC$ over $\overleftrightarrow{AC}$ , then dilate using center $A$ by a scale factor of $\frac{1}{2}$ . D. Reflect $\triangle AED$ over $\overleftrightarrow{AC}$ , then dilate using center $A$ by a scale factor of 2. E. Translate $\triangle AED$ by directed line segment $\overline{DC}$ , then dilate using center $C$ by scale factor 2. F. Translate either triangle $ABC$ or $AED$ by directed line segment $\overline{DC}$ , then reflect over $\overleftrightarrow{AC}$ .

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Problem 257

Identify the transformation rule for segments AB (A(1,-4), B(6,4)) and A'B' (A'(2,0), B'(6,0)). Choices are:
1. $(x, y) \longrightarrow(x+4, y+4)$
2. $(x, y) \longrightarrow(x, y+4)$
3. $(x, y) \longrightarrow(-x,-y)$
4. $(x, y) \longrightarrow(x, y-4)$

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Problem 258

Find the scale factor from segment EF (E(4,4), F(8,4)) to segment $E^{\prime} F^{\prime}$ (E'(-1,1), F'(2,1)). Options: $\frac{1}{3}$ , 3, $\frac{1}{4}$ , 4.

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Problem 259

Find the new vertices of $\triangle A B C$ after these translations: 1. $T_{\langle-2,3\rangle}$ , 2. $T_{\langle-4,-1\rangle}$ , 3. $T_{(4,6)}$ .

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Problem 260

Find the new coordinates of point $C'$ after rotating point $C(2, -3)$ 90 degrees clockwise and translating left by 2 units. Options: $(-1,2)$ , $(-5,2)$ , $(-6,-3)$ , $(-3,2)$ .

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Problem 261

2. Triangle $ABC$ has vertices $A(1, 7)$ , $B(3, 2)$ , and $C(-2, -2)$ . Graph $\triangle ABC$ and its image after a rotation of $270^\circ$ counterclockwise about $(-4, 2)$ .

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Problem 262

Exercice 1 :
1) Trace en vert le symétrique de cette figure par la symétrie de centre O. 2) Trace en rouge l'image de cette figure par la translation qui transforme A en B. 3) Trace en noir l'image de cette figure par la rotation de centre O, d'angle $60^\circ$ dans le sens anti-horaire.
Exercice 2 :
1) Trace en vert le symétrique de cette figure par rapport à la droite (d). 2) Trace en rouge l'image de cette figure par la translation qui transforme C en O'. 3) Trace en noir l'image de cette figure par la rotation de centre O, d'angle $90^\circ$ dans le sens antihoraire.

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Problem 263

Which of the following is NOT displayed within the tile design? DILATION ROTATION REFLECTION TRANSLATION

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Problem 264

JUSTIFY REASONING Consider the statement: If $\boldsymbol{c}$ is a real number, then a dilation centered at the origin maps the line $y=c x$ to itself. Which statement best determines whether the statement is sometimes, always, or never true and justifies the reasoning? A) Sometimes; The line $y=c x$ passes through the origin, but depending on the value of $c$ , the image may map onto itself or may be parallel or perpendicular and not map onto itself. B) Always; The line $y=c x$ passes through the origin and a dilation leaves lines through the center of dilation unchanged. C) Sometimes; The line $y=c x$ passes through the origin, but if $c$ is negative, the dilation would be perpendicular to the preimage. D) Never; The line $y=c x$ passes through the origin and because the origin is the center of dilation, the image line will be parallel to the preimage.

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Problem 265

For each graph, select all symmetries that apply.

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Problem 266

estion 13 (5 points)
Find the velocity at C . $\bar{v}_{C}=\bar{v}_{B}+\bar{\omega}_{B C} \times \bar{r}_{C / B}$ $\bar{v}_{C}=\bar{v}_{B}-\bar{\omega}_{B C} \times \bar{r}_{C / B}$ $\bar{v}_{C}=\bar{v}_{B}+\bar{\omega}_{B C} \times \bar{r}_{B / C}$ $\bar{v}_{C}=\bar{v}_{B}-\bar{\omega}_{B C} \times \bar{r}_{B / C}$

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Problem 267

) : The parallelogram $D^{\prime} E^{\prime} F^{\prime} G^{\prime}$ is a dilation of the parallelogram $D E F G$ . What is the scale factor of the dilation?
Simplify your answer and write it as a proper fraction, an improper fraction, or a whole number. $\square$

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Problem 268

Identify the transformation based on the coordinates below. Figure 1: $E$ (-9, 3), $F$ (-8, 5), $G$ (-5, 5), $H$ (-4, 3) Figure 1': $E'$ (9, -3), $F'$ (8, -5), $G'$ (5, -5), $H'$ (4, -3) $90^\circ$ rotation (clockwise) $180^\circ$ rotation dilation

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Problem 269

Triangle $ABC$ will be rotated $90^\circ$ counter-clockwise about the origin. What will be the resulting coordinate of Point $A'$ ?

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Problem 270

1. Write the order of rotational symmetry (if any) for each of the following shapes. a) b) c) d) 11.2: Let's Practice ABC.

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Problem 271

At which angle will the hexagon rotate so that it maps onto itself? $60^\circ$ $90^\circ$ $120^\circ$ $180^\circ$

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Problem 272

Knowledge Clieck Question 3
A dilation centered at the origin with a scale factor of $\frac{2}{3}$ is applied to $\triangle X Y Z$ . The result is $\triangle X^{\prime} Y^{\prime} Z^{\prime}$ , as shown below. (a) The arrows below show that the coordinates on the left are mapped to the coordinates on the right. Fill in the blanks to glve the coordinates after the dilation. original coordinates $-\boldsymbol{f i n a l}$ coordinates $\left.\begin{array}{r} X(3,6) \rightarrow X^{\prime}(\square, \square) \\ Y(6,-9) \\ Z\left(-Y^{\prime}(\square, \square)\right. \\ Z(-12,-3) \end{array}\right)$ (b) Choose the general rule below that describes the dilation mapping $\triangle X Y Z$ to $\triangle X^{\prime} Y^{\prime} Z^{\prime}$ . $(x, y) \rightarrow\left(\frac{3}{2} y, \frac{3}{2} x\right)$ $(x, y) \rightarrow\left(\frac{2}{3} y, \frac{2}{3} x\right)$ $(x, y) \rightarrow\left(\frac{2}{3} x, \frac{3}{2} y\right)$ $(x, y) \rightarrow\left(\frac{3}{2} x, \frac{2}{3} y\right)$ $(x, y) \rightarrow\left(\frac{3}{2} x, \frac{3}{2} y\right)$ $(x, y) \rightarrow\left(x, \frac{2}{3} y\right)$ $(x, y) \rightarrow\left(\frac{2}{3} x, y\right)$ $(x, y) \rightarrow\left(\frac{2}{3} x, \frac{2}{3} y\right)$ I Don't Know Submit O 2024 McGraw Hill LLC. All Righ

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Problem 273

(9.1 – 9.7) $\triangle$ ABC is reflected over the line $x = -3$ and then translated by which rule to map to $\triangle A''B''C''$ ? Graph $\triangle A''B''C''$ . $(x,y) \rightarrow (\qquad,\qquad)$

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Problem 274

Top view of a $3.0 \text{ cm} \times 3.0 \text{ cm} \times 3.0 \text{ cm}$ cube
$4.0 \text{ m}$ $400 \text{ N/C}$ $2.0 \text{ m}$ $30^\circ$ $500 \text{ N/C}$ $30^\circ$ 39. 40.
FIGURE P24.29 FIGURE P24.30
30. FIGURE P24.30 shows four sides of a $3.0 \text{ cm} \times 3.0 \text{ cm} \times 3.0 \text{ cm}$ cube.
a. What are the electric fluxes $\Phi_1$ to $\Phi_4$ through sides 1 to 4? b. What is the net flux through these four sides?

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Problem 275

Find the point on $g(t)$ if $(1,90)$ on $f(t)$ is translated 2 units right and reflected over the $x$ -axis.

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Problem 276

$\triangle X Y Z$ . The first is a translation of vertex $A$ to vertex $X$ What is the second transformation? a reflection across the line containing $\overline{A B}$ a reflection across the line containing $\overline{A C}$ a rotation about point $A$ a rotation about point B

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Problem 277

問 85 曲線 $C: x y=1$ を $-\frac{\pi}{4}$ 回転移動して得られる図形の方程式を求めよ.

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Problem 278

Question Show Examples
The figure below is rotated $180^{\circ}$ clockwise and then reflected over y -axis. What are the coordinates of the image of point V after these transformations? Answer Astempt 2 out of 2

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Problem 279

Write a rule for the glide reflection that maps $\triangle D E F$ to $\triangle D^{\prime} E^{\prime} F^{\prime}$ .
Choose the correct answer below. A. $\left(T_{\langle-6,0\rangle}{ }^{\circ} r_{x-2 x i s}\right)(\triangle D E F)=\triangle D^{\prime} E^{\prime} F^{\prime}$ B. $\left(T_{\langle 6,2\rangle}{ }^{\circ} r_{x \text {-axis }}\right)(\triangle D E F)=\triangle D^{\prime} E^{\prime} F^{\prime}$ C. $\left(T_{\langle 0,6\rangle} \circ r_{y-a x i s}\right)(\triangle D E F)=\triangle D^{\prime} E^{\prime} F^{\prime}$ D. $\left(T_{\langle 2,6\rangle}{ }^{\circ} r_{y-a x i s}\right)(\triangle D E F)=\triangle D^{\prime} E^{\prime} F^{\prime}$

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Problem 280

3.
What kind of symmetry does this graph have? A. About the $x$ -axis B. About the origin C. About the $y$ -axis D. None

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Problem 281

I. with coordinges $F(1,-7) G(7,-4) H(4,-2) I(-2,-5)$ , is $\square$ the image ( $\left.F^{\prime} G^{\prime} H^{\prime} I^{\prime}\right)$ is located at $F^{\prime \prime}(-7,1) G^{\prime}(-4,7) H^{\prime}(-2,4) I^{\prime}(-5,-2)$ . rotated $180^{\circ}$ about the origin reflected in the line $y=-x$ reflected in the line $y=x$ rotated $90^{\circ}$ . clockwise about the origin

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Problem 282

Choose all of the shapes below that have rotational symmetry. Bookwork code: 3F Calculator not allowed This is a new version of the question. Make sure you start new workings. J L K

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Problem 283

2 problem 4 HC is not a side of the hexagon.
Regular heragon $A B C D E F$ is inscribed in a circle with center $H$ . a. What is the image of segmert $B C$ after a 120 -degree clockwise rotation about point $H$ ?
Type the answer in the box below. segment $\square$ b. What is the image of segment BC atter a reflection over line FC?
Type the answer in the box below. Secment $D C$

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Problem 284

Find the reflection of the line $x=4$ across the $y$ -axis.

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Problem 285

Complete both transformations below. Then enter the final coordinates of the figure. $A(-1,3)$ $A''(\text{?}, \text{ })$ $B(2,1)$ $B''(\text{ }, \text{ })$ $C(1,-1)$ $C''(\text{ }, \text{ })$ 1) $<2,3>$ 2) Dilate $K=2$

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Problem 286

The point B (-2, 1) has been transformed to B' (-5, -3). The transformation is described as _____.
$T_{(-3,-4)}$ $T_{(-3,-2)}$ $R_{x=2}$ $D_3$

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Problem 287

$y = x$
Complete the mapping of the vertices of $\triangle DEF$ .
$D(2, -4) \rightarrow D'$
$E(1, -1) \rightarrow E'$
$F(5, 1) \rightarrow F'$
What is the rule that describes a reflection across the line $y = x$ ?
$r_x = y(x, y) \rightarrow$

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Problem 288

Which transformation would take Figure A to Figure B?

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Problem 289

Refer to the graph. Pay attention to the scale of the graph.
Which set of coordinates models the image of the triangle after a translation along $<2,-9>?$ A) $M^{\prime}(-5,16), N^{\prime}(-2,13), P^{\prime}(0,15)$ B) $M^{\prime}(-1,-2), N^{\prime}(2,-5), P^{\prime}(4,-3)$ C) $M^{\prime}(-5,-2), N^{\prime}(-2,-5), P^{\prime}(0,-3)$ D) $M^{\prime}(-1,16), N^{\prime}(2,13), P^{\prime}(4,15)$

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Problem 290

Translate points D(-4,-5), E(0,-5), F(-1,-3), G(-3,-3) left 3 units and down 2 units. Find D', E', F', G'.

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Problem 291

Rotate points $U(-3,6)$ , $V(-8,1)$ , and $W(-3,1)$ by $180^{\circ}$ around the origin. Find $U^{\prime}, V^{\prime}, W^{\prime}$ .

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Problem 292

$-9x^{2} + 54x + 16y^{2} + 160y + 175 = 0$
Use the green key point to change the orientation of the transverse axis, and the red key points to adjust the locations of the center point, vertices, and co-vertices.
Note: When moving the coordinate points, make sure to not have them overlap.
Provide your answer below:

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Problem 293

A line segment has endpoints at $(-4,-6)$ and $(-6,4)$ . Which reflection will produce an image with endpoints at $(4,-$ $6)$ and $(6,4)$ ?
a reflection of the line segment across the $x$ -axis a reflection of the line segment across the $y$ -axis a reflection of the line segment across the line $y=x$ a reflection of the line segment across the line $y=-x$

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Problem 294

1. Which statement is true about a translation? A. A translation tahes a line to a parallel line or itself B. A translation takes a line to a perpendicular line C. A tramslation requires an center of tramilation D. A translation requires a line of translation

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Problem 295

5 Select all the angles of rotation that produce symmetry lor this graph. A. $45^{\circ}$ B. $90^{\circ}$ C. $135^{\circ}$ D. $180^{\circ}$ E. $295^{\circ}$ F. $277^{\circ}$

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Problem 296

Back to Content Final Exam
Calculator
What is the smallest degree of rotation that will map a regular 18-gon onto itself? Enter your answer in the box. 1 2 3 4 5 6 7 8 9 10 Next Type here to search

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Problem 297

35) What is the line of reflection for the diagram below? A) the $x$ -axis B) the $y$ -axis C) $y=4$ D) $x=4$ E) $y=-x$

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Problem 298

Tides on Earth are caused in part by the position of the Moon in relation to the Earth.
Assuming that four observers on different beaches on Earth are at positions J, K, L, and M, at what position will the observer experience a low tide? position J position K position L position M

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Problem 299

Describe the rotation that transforms triangle DEF with vertices $D(0,3), E(1,8), F(-3,4)$ to $D^{\prime}(3,0), E^{\prime}(8,-1), F(4,3)$ .

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Problem 300

Find the translation from triangle $K M N$ with vertices $K(12,3), M(-5,2), N(8,-4)$ to $K^{\prime}(18,0), M^{\prime}(1,-1), N^{\prime}(14,-7)$ .

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Transformations

Problem 201

Reflect the point S(0,2)S(0,2)S(0,2) over the xxx-axis. What are the coordinates of S′S^{\prime}S′?

Problem 202

Reflect the point T(−3,2)T(-3,2)T(−3,2) over the yyy-axis. What are the coordinates of T′T^{\prime}T′?

Problem 203

What is the scale of Paco's drawing if the longest side is 5 inches and the original is 10 inches with a length of 4 in. : 5 yd?

Problem 204

Problem 205

Problem 206

Problem 207

Problem 208

Problem 209

Problem 210

Problem 211

Triangle ABCA B CABC is dilated to produce triangle A′B′C′A^{\prime} B^{\prime} C^{\prime}A′B′C′.Determine the scale factor used to create the image. 13\frac{1}{3}31​

Problem 212

Problem 213

Explain the relationship between the graphs of g(x)=x2+1g(x) = x^{2} + 1g(x)=x2+1 and f(x)=x2f(x) = x^{2}f(x)=x2.

Problem 214

Problem 215

Problem 216

Problem 217

Problem 218

Problem 219

□\square□ Submit

Problem 220

4) Select all that apply.The coordinates of a triangle are (0,0),(3,3)(0,0),(3,3)(0,0),(3,3), and (4,−4)(4,-4)(4,−4). Find the coordinates of the translated triangle if it is moved 6 units to the right and 5 units down.

Problem 221

Problem 222

vs SimilarityQuestion Show ExamplesTriangle HIJ is dilated by a scale factor of 23\frac{2}{3}32​ to form triangle H'I'J'. What is the measure of side I'J'? Answer Attempt 1 out of 3

Problem 223

Find the new coordinates of point NNN after dilating triangle MNOM N OMNO by a factor of 3 from the origin, given N(4,6)N(4,6)N(4,6).

Problem 224

Draw a line perpendicular to line ℓ\ellℓ at point AAA. Identify line ℓ\ellℓ and point AAA from the diagram.

Problem 225

Translate the point (1,-6) by 2 units right and 6 units down. Show your work.

Problem 226

Find the translation from point Q(−9,−5)Q(-9,-5)Q(−9,−5) to Q′(−2,−8)Q^{\prime}(-2,-8)Q′(−2,−8) as ⟨x,y⟩\langle x, y \rangle⟨x,y⟩.

Problem 227

Find the translation from point Q(−9,−5)Q(-9,-5)Q(−9,−5) to Q′(−2,−8)Q^{\prime}(-2,-8)Q′(−2,−8) as ⟨x,y⟩\langle x, y\rangle⟨x,y⟩. Show your work.

Problem 228

Find the translation from Q(3,6)Q(3,6)Q(3,6) to Q′(9,3)Q^{\prime}(9,3)Q′(9,3) as ⟨x,y⟩\langle x, y\rangle⟨x,y⟩. Show your work.

Problem 229

Problem 230

What are the coordinates of R′R^{\prime}R′ for the dilation D(0.5,P)D_{(0.5, P)}D(0.5,P)​ ( □PQRS)\left.\square P Q R S\right)□PQRS) ? ( 3 pts.)3 □\square□ 4 □\square□ )

Problem 231

Problem 232

Problem 233

Problem 234

What shape is generated when rectangle ABCDA B C DABCD is rotated around the vertical line through AAA and DDD ? A. Pyramid B. Prism C. Cylinder D. Cone

Problem 235

Under a dilation, the point (−3,−4)(-3,-4)(−3,−4) is moved to (−15,−20)(-15,-20)(−15,−20). What is the scale factor of the dilation? Enter your answer in the box. □\square□ 12 Type here to search

Problem 236

1. Complete the following curve of the even function fff defined on IRI RIR

Problem 237

(a) The graph of y=f(x)y=f(x)y=f(x) is shown. Draw the graph of y=f(−x)y=f(-x)y=f(−x). (b) The graph of y=g(x)y=g(x)y=g(x) is shown. Draw the graph of y=−g(x)y=-g(x)y=−g(x).

Problem 238

Find the length of segment A′B′‾\overline{A^{\prime} B^{\prime}}A′B′ after dilating AB‾\overline{AB}AB with A(1,15), B(10,3) by 23\frac{2}{3}32​.

Problem 239

Scale a polygon with sides 3, 1, 2, 1, and 2 units to a perimeter of 30 units. Find the scale factor and explain your reasoning.

Problem 240

Problem 241

Problem 242

40 Trapezold EFGH will be reflected across the yyy-axis. What will be the resulting coordinate of Point H′H^{\prime}H′ ? wucan earn 5 coins (5,−4)(5,-4)(5,−4) (−4,−3)(-4,-3)(−4,−3) (−5,−2)(-5,-2)(−5,−2) (5,−2)(5,-2)(5,−2)

Problem 243

Use transformations to graph the function. q(x)=−(x+2)2+5q(x)=-(x+2)^{2}+5q(x)=−(x+2)2+5

Problem 244

Translate the vertices A(2,-6), B(-1,-1), C(-3,-5) by (x,y)→(x+3,y+5)(x, y) \rightarrow (x+3, y+5)(x,y)→(x+3,y+5). Find A', B', C'.

Problem 245

A translation moves point V(−2,3)V(-2,3)V(−2,3) to V′(−2,7V^{\prime}(-2,7V′(−2,7. Identify true statements about the translation.

Problem 246

Find new coordinates of vertices M′M'M′, P′P'P′, Q′Q'Q′, and V′V'V′ after a 270∘270^{\circ}270∘ rotation of parallelogram MPQVMPQVMPQV around (−5,−10)(-5,-10)(−5,−10).

Problem 247

2. Identify the angle of rotational symmetry for the figure below.

Problem 248

Problem 249

Problem 250

the dilation?

Problem 251

Reflect the point $S(0,2)$ over the $x$ -axis. What are the coordinates of $S^{\prime}$ ?

Reflect the point $T(-3,2)$ over the $y$ -axis. What are the coordinates of $T^{\prime}$ ?

Triangle $A B C$ is dilated to produce triangle $A^{\prime} B^{\prime} C^{\prime}$ .
Determine the scale factor used to create the image. $\frac{1}{3}$

Explain the relationship between the graphs of $g(x) = x^{2} + 1$ and $f(x) = x^{2}$ .

$\square$ Submit

4) Select all that apply.
The coordinates of a triangle are $(0,0),(3,3)$ , and $(4,-4)$ . Find the coordinates of the translated triangle if it is moved 6 units to the right and 5 units down.

vs Similarity
Question Show Examples
Triangle HIJ is dilated by a scale factor of $\frac{2}{3}$ to form triangle H'I'J'. What is the measure of side I'J'? Answer Attempt 1 out of 3

Find the new coordinates of point $N$ after dilating triangle $M N O$ by a factor of 3 from the origin, given $N(4,6)$ .

Draw a line perpendicular to line $\ell$ at point $A$ . Identify line $\ell$ and point $A$ from the diagram.

Find the translation from point $Q(-9,-5)$ to $Q^{\prime}(-2,-8)$ as $\langle x, y \rangle$ .

Find the translation from point $Q(-9,-5)$ to $Q^{\prime}(-2,-8)$ as $\langle x, y\rangle$ . Show your work.

Find the translation from $Q(3,6)$ to $Q^{\prime}(9,3)$ as $\langle x, y\rangle$ . Show your work.

What are the coordinates of $R^{\prime}$ for the dilation $D_{(0.5, P)}$ ( $\left.\square P Q R S\right)$ ? ( 3 pts.)
3 $\square$ 4 $\square$ )

What shape is generated when rectangle $A B C D$ is rotated around the vertical line through $A$ and $D$ ? A. Pyramid B. Prism C. Cylinder D. Cone

Under a dilation, the point $(-3,-4)$ is moved to $(-15,-20)$ . What is the scale factor of the dilation? Enter your answer in the box. $\square$ 12 Type here to search

1. Complete the following curve of the even function $f$ defined on $I R$

(a) The graph of $y=f(x)$ is shown. Draw the graph of $y=f(-x)$ . (b) The graph of $y=g(x)$ is shown. Draw the graph of $y=-g(x)$ .

Find the length of segment $\overline{A^{\prime} B^{\prime}}$ after dilating $\overline{AB}$ with A(1,15), B(10,3) by $\frac{2}{3}$ .

40 Trapezold EFGH will be reflected across the $y$ -axis. What will be the resulting coordinate of Point $H^{\prime}$ ? wucan earn 5 coins $(5,-4)$ $(-4,-3)$ $(-5,-2)$ $(5,-2)$

Use transformations to graph the function. $q(x)=-(x+2)^{2}+5$

Translate the vertices A(2,-6), B(-1,-1), C(-3,-5) by $(x, y) \rightarrow (x+3, y+5)$ . Find A', B', C'.

A translation moves point $V(-2,3)$ to $V^{\prime}(-2,7$ . Identify true statements about the translation.

Find new coordinates of vertices $M'$ , $P'$ , $Q'$ , and $V'$ after a $270^{\circ}$ rotation of parallelogram $MPQV$ around $(-5,-10)$ .

$K'L'M'N'$ is a dilation of the trapezoid $KLMN$ . What is the scale factor of the dilation? Simplify your answer and write it as a proper fraction, an improper fraction, or a whole number.

$A2.6$ Le rectangle ABCD est une partie de l'agrandissement de transformation. Effectue une rotation du rectangle ABCD de 90° autour du point $(-4, 2)$ dans le sens antihoraire.

Find the scale factor from segment EF (E(4,4), F(8,4)) to segment $E^{\prime} F^{\prime}$ (E'(-1,1), F'(2,1)). Options: $\frac{1}{3}$ , 3, $\frac{1}{4}$ , 4.

Find the new vertices of $\triangle A B C$ after these translations: 1. $T_{\langle-2,3\rangle}$ , 2. $T_{\langle-4,-1\rangle}$ , 3. $T_{(4,6)}$ .

Find the new coordinates of point $C'$ after rotating point $C(2, -3)$ 90 degrees clockwise and translating left by 2 units. Options: $(-1,2)$ , $(-5,2)$ , $(-6,-3)$ , $(-3,2)$ .

2. Triangle $ABC$ has vertices $A(1, 7)$ , $B(3, 2)$ , and $C(-2, -2)$ . Graph $\triangle ABC$ and its image after a rotation of $270^\circ$ counterclockwise about $(-4, 2)$ .

Identify the transformation based on the coordinates below. Figure 1: $E$ (-9, 3), $F$ (-8, 5), $G$ (-5, 5), $H$ (-4, 3) Figure 1': $E'$ (9, -3), $F'$ (8, -5), $G'$ (5, -5), $H'$ (4, -3) $90^\circ$ rotation (clockwise) $180^\circ$ rotation dilation

Triangle $ABC$ will be rotated $90^\circ$ counter-clockwise about the origin. What will be the resulting coordinate of Point $A'$ ?

At which angle will the hexagon rotate so that it maps onto itself? $60^\circ$ $90^\circ$ $120^\circ$ $180^\circ$