Geometry

Problem 2201

the max or min value and the vertex. 3.
Zeros:
Axis of symmetry: Max or Min: Vertex:

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Problem 2202

13 I can use the scale factor for similar triangles to find an unknown length in a real context. e.g. For the triangles formed from these yacht sails, give a reason why they are similar then use the scale factor to find the length of the hypotenuse on the larger sail.

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Problem 2203

Given: $\triangle B A G \cong \triangle C D F, \overline{B A} \perp \overline{A D}$ and $\overline{C D} \perp \overline{A D}$ . Prove: $A B C D$ is a rectangle. \begin{tabular}{ccc} Step & Statement & Reason \\ 1 & $\triangle B A G \cong \triangle C D F$ & \\ 1 & $\overline{B A} \perp \overline{A D}$ & Given \\ & $\overline{C D} \perp \overline{A D}$ & \end{tabular} try Type of Statement

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Problem 2204

Rectangle $A B C D$ is similar to rectangle EBGF.
What is the value of $b$ in centimters? 45 cm 20 cm 3.2 cm 36 cm

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Problem 2205

Mr. Perez used a map to find out how far it is between two cities. On the map, the distance between the two citles is 4 inches. The actual distance between the cities is 300 miles.
What was the scale on the map that was used to calculate the distance between the two citles? 1 inch represents 150 miles 75 inches represents 1 mile 1 inch represents 75 miles 1 inch represents 1 mile

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Problem 2206

The two triangle shown below are similar triangles.
What is the value of $d$ in meters?

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Problem 2207

Which rule explains why these triangles are congruent? $\square$ ASA $\square$ These triangles cannot be SAS proven congruent.

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Problem 2208

9. Given: $\angle L K M \simeq \angle J K M, \angle L M K \simeq \angle J M K$ .
Prove: $\triangle L K M \simeq \triangle J K M$
Choose the word that completes the sentence correctly. Proof: $\angle L K M \simeq \angle J K M$ and $\angle L M K \approx \angle J M K$ are given $\overline{K M} \cong \overline{K M}$ by the $\qquad$
Property of Congruence

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Problem 2209

$\overleftrightarrow{P R}$ and $\overleftrightarrow{S U}$ are parallel lines.
Which angles are supplementary angles? $\angle P Q T$ and $\angle P Q O$ $\angle P Q T$ and $\angle S T V$ $\angle P Q T$ and $\angle R Q O$ $\angle P Q T$ and $\angle U T Q$

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Problem 2210

Foci: $\left(\frac{4 \sqrt{35}+7}{2}, \frac{3}{2}\right),\left(\frac{-4 \sqrt{35}+7}{2}, \frac{3}{2}\right)$ Endpoints of minor axis: $\left(\frac{7}{2}, \frac{7}{2}\right),\left(\frac{7}{2},-\frac{1}{2}\right)$

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Problem 2211

4 A circle has equation $x^{2}+y^{2}=40$ A line has equation $y=3 x$ The line intersects the circle at two points, P and Q . Find the coordinates of P and Q .

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Problem 2212

(7)
Angles in parallel lines Q1 - Alternate, co-interior or corresponding Laura Jemiolo
Q1 $\frac{0}{6}$ Q2 $\frac{0}{8}$ $x=$ $\square$ - [1]
Total $x=$ $\square$ $\frac{0}{14}$ $x=$ $\square$ [1] $x=$ $\square$ [1] $x=\square 0$ [1] $x=$ $\square$ [1] Mark it

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Problem 2213

In the $x y$ -plane, the line given by which of the following is perpendicular to the line $5 x-2 y=7$ ? $5 x+2 y=7$ $2 x+5 y=7$ $2 x-5 y_{\text {可 }} 7$ $5 x-5 y=10$ $5 x-2 y=10$

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Problem 2214

$\begin{array}{l} x= \\ y= \end{array}$ $\square$ [1 [1

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Problem 2215

\begin{align} 60^\circ \\ 45^\circ \\ X \\ x = \\ y = \\ ^\circ \\ ^\circ \\ \end{align} Find the value of $x$ and $y$ .

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Problem 2216

Solve for x .

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Problem 2217

Solve for x .

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Problem 2218

What is the area of the triangle? $\square$ square units

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Problem 2219

Carolina is hanging Christmas lights from a tree in the center of her yard. She wants the lights to be straight similar to the diagram below. She knows the lights are 30 feet ( ft .) long. She stands $5 \frac{5}{12} \mathrm{ft}$ . tall and holds the lights $6 \frac{1}{6} \mathrm{ft}$ . away from the point where they will secure into the ground. Using the diagram, how far up the tree should she place the hook to hold the lights? $\square$ ft.

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Problem 2220

Find the value of $x$ .

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Problem 2221

Find the value of $x$ .

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Problem 2222

A circular cylindrical water tank is filled with water to 75 percent of its total volume of $V$ cubic inches. The radius of the tank is 6 inches, and the height of the tank is $h$ inches. Which of the following represents the height, in inches, of the water in the tank? (Note: The volume of a cylinder with radius $r$ and height $h$ is given by $\pi r^{2} h$ $\frac{V}{36 \pi}$ $\frac{V}{6 \pi}$ $\frac{V}{8 \pi}$ $\frac{V}{48 \pi}$ $\frac{V}{27 \pi}$

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Problem 2223

$\triangle A B C$ is similar to $\triangle X Y Z$ .
What is the constant of proportionality between triangle $A B C$ and triangle $X Y Z$ ?

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Problem 2224

Find an equation for the line that passes through the points $(5,-3)$ and $(-1,6)$ . $\square$

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Problem 2225

Solve the triangle. $a=63, b=22, c=48$ $A \approx$ $\square$ $B \approx$ $\square$ ${ }^{\circ}$ $C \approx 40^{\circ}$ (Do not round until the final answer. Then round to the nearest degree as needed.)

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Problem 2226

What is the perimeter? If necessary, round to the nearest tenth. $\square$ centimeters

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Problem 2227

Solve the right triangle. 40.

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Problem 2228

olications Question 3, 7.2.5 HW Score: 24.04\%, 3.13 of 13 points Points: 0 of 1 Sav
Shade the Venn Diagram to show the set. $F \cup B^{\prime}$
Use the graphing tool to graph the set

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Problem 2229

What is the perimeter? If necessary, round to the nearest tenth. $\square$ centimeters

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Problem 2230

41.

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Problem 2231

What is the perimeter? If necessary, round to the nearest tenth. $\square$ inches

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Problem 2232

What is the surface area of this cylinder? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $\square$ square millimeters

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Problem 2233

What is the surface area of this cylinder? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $\square$ square inches

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Problem 2234

What is the surface area of this cylinder? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $\square$ square feet

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Problem 2235

The surface area of this cylinder is $1,639.08$ square millimeters. What is the height? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $\square$ millimeters

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Problem 2236

The surface area of this cylinder is $2,237.25$ square meters. What is the height? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $h \approx$ $\square$ meters

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Problem 2237

What is the surface area of this cone? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $\square$ square inches

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Problem 2238

**Solve for all missing sides and angles in the triangle below:

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Problem 2239

(in) Self-Assessment Questions Exercise 3.2
1. The volume of a cube is $27 \mathrm{~cm}^{3}$ . Find the total area of its faces.

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Problem 2240

What is the surface area of this sphere? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $\square$ square meters

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Problem 2241

What is the surface area of this sphere? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $\square$ square centimeters

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Problem 2242

What is the surface area of this sphere? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $\square$ square feet

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Problem 2243

What is the surface area of this sphere? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $\square$ square meters

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Problem 2244

Solving a word problem
Mountain officials want to build a new ski lift from $B$ to $C$ , as shown in the figure below. The distance from $A$ to $C$ is 1490 feet. They measure angle $D A C$ to be $35^{\circ}$ and angle $D B C$ to be $21^{\circ}$ . What is the distance from $A$ to $B$ ? Round your answer to the nearest tenth of a foot. $\square$ feet

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Problem 2245

What is the surface area of this sphere? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth $\square$ square inches

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Problem 2246

What is the surface area of this sphere? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $\square$ square inches

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Problem 2247

Vhat is the length of the missing leg? If necessary, round to the nearest tenth. $b=$ $\square$ kilometers

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Problem 2248

What is the volume of this sphere? Use $\pi \approx 3.14$ and round your answer to the nearest hundred $\square$ cubic millimeters

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Problem 2249

What is the volume of this sphere? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $\square$ cubic millimeters

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Problem 2250

What is the volume of this sphere? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth $\square$ cubic vards

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Problem 2251

What is the length of the missing leg? If necessary, round to the nearest tenth. $b=$ $\square$ centimeters Submit

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Problem 2252

On Your Own Use the functions for Problems 4-10. $f(x)=\frac{1}{2} x+2 \quad h=\{$ \begin{tabular}{r|} \hline $x$ \\ \hline $j(x)$ \\ \hline \end{tabular}
4. Which function graph has the least steep

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Problem 2253

23. Find the measure of $\angle C Y L$ . $\angle C Y L=$ $\qquad$ (C)Maneuvering the Middle LLC, 2017

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Problem 2254

28. Use the figure to answer questions $a$ and $b$ . a. Are the triangles above similar? Explain. b. If possible, find the missing side length, $x$ .

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Problem 2255

2.) If $\overline{A B} \cong \overline{E B}$ , then $\angle$ $\qquad$ $\cong \angle$ $\qquad$ .

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Problem 2256

8 Math 24-25 IDa IXL | Dilations: graph the image 囚 ixl.com/math/grade-8/dilations-graph-the-image
Graph the image of square DEFG after a dilation with a scale factor of 2 , centered at the origin.

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Problem 2257

A custodian carries a large key ring. The key ring has a radius of 4 centimeters. What key ring's circumference?
Use 3.14 for $\pi$ . If necessary, round your answer to the nearest hundredth. $\square$ centimeters Submit

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Problem 2258

Use less than, equal to, or greater than to complete this statement: The measure of each exterior angle of a regular 10-gon is $\qquad$ the measure of each exterior angle of a regular 6-gon.
Select one: a. cannot tell b. less than c. greater than d. equal to

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Problem 2259

The rectangle $C^{\prime} D^{\prime} E^{\prime} F^{\prime}$ is a dilation of the rectangle $C D E F$ . What is the scale factor of the dilation?

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Problem 2260

8.

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Problem 2261

The round temperature dial on a thermostat has a radius of 1 inch. What is the dial's diameter? $\square$ inches Submit

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Problem 2262

Write the coordinates of the vertices after a dilation with a scale factor of $\frac{1}{3}$ , centered at the origin.

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Problem 2263

How many sides does a regular polygon have if each exterior angle measures 30 ?
Select one: a. 15 sides b. 12 sides c. 14 sides d. 11 sides

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Problem 2264

The length of a rectangle is 6 inches longer than it is wide. If the area is 160 square inches, what are the dimensions of the rectangle?
The width, or shorter side is $\square$ inches
The length, or longer side is $\square$ inches Submit Question Question 11 0/1 pt 3 99 Details

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Problem 2265

3. Kyle says that $\Delta J K L$ is congruent to $\Delta L M J$ by the SSS Congruence Theorem. Ava says that $\Delta J K L$ is congruent to $\triangle L M J$ by the HL. Congruence Theorem. Who is correct? Explain your response.

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Problem 2266

Find $D F$ .
Write your answer as an integer or as a decimal rounded to the nearest tenth.

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Problem 2267

Find $W Y$ .
Write your answer in simplified, rationalized form. Do not round.

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Problem 2268

In the figure below, $l \| m$ . Find $x$ . $x=$

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Problem 2269

In the figure below, $l \| m$ . Find $x$ . $x=$

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Problem 2270

Find QS.
Write your answer as an integer or as a decimal rounded to the nearest tenth. $Q S=$ $\square$

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Problem 2271

3. Calculate the surface area of the triangular prism:
Answer: 132 cm² $^{2}$

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Problem 2272

Der Bus fährt um 8.05 Uhr ab. a) Zeichne den Graphen. b) Wann ist die Endstation erreicht? c) Wie lang ist die Strecke?

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Problem 2273

Copy a figure twice, cut out, label as $A$ and $B$ , then check if side lengths and angles are the same to determine congruence.

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Problem 2274

Check if triangles $\triangle ABC$ and $\triangle XYZ$ are congruent using transformations: reflect and translate.

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Problem 2275

Calculate the area of a square with side length $7$ units.

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Problem 2276

Find point $B$ on line segment $AC$ where $A(6,-6)$ , $C(-6,-2)$ , and $AB=\frac{3}{4}AC$ .

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Problem 2277

Find the total length of all sides of a garden that is 8.5 yards long and 5.95 yards wide. Calculate $2(8.5 + 5.95)$ .

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Problem 2278

A disc of radius $30 \mathrm{~cm}$ has supports $20 \mathrm{~cm}$ tall. Find: (a) $\angle A O B$ , (b) arc length $A C B$ , (c) area percentage above line $A B$ .

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Problem 2279

Find angle $O Q P$ given points $P, Q, R$ on a circle with $m\angle Q P R=35^{\circ}$ and $m\angle O R P=30^{\circ}$ .

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Problem 2280

Find the angles of a triangle with a ratio of $5: 3: 4$ and identify the type of triangle based on these angles.

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Problem 2281

Calcola l'area di un rettangolo con base $28 \mathrm{~cm}$ e altezza $\frac{5}{4} \cdot 28$ .

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Problem 2282

Calcola l'area di un rettangolo con base $28 \mathrm{~cm}$ e altezza $5/4$ della base.

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Problem 2283

Calcola l'area di un rettangolo con base $28 \mathrm{~cm}$ e altezza $\frac{5}{4} \times 28 \mathrm{~cm}$ .

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Problem 2284

Un rettangolo ha area $1140 \mathrm{~cm}^{2}$ e base $38 \mathrm{~cm}$ . Trova il perimetro.

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Problem 2285

Calcola l'area di un parallelogramma con base $38 \mathrm{~cm}$ e altezza $h = \frac{3}{2} \times 38$ .

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Problem 2286

La base di un parallelogramma è $42 \mathrm{~cm}$ e $h = \frac{7}{6} \times 42$ . Trova l'area del parallelogramma.

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Problem 2287

Convert the angle $45^{\circ} 12^{\prime} 23.2^{\prime \prime}$ to radians.

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Problem 2288

1. Earth’s radius is $6371 \mathrm{~km}$ . Distance Dhaka to Delhi is $1882 \mathrm{~km}$ . Find the angle at Earth's center.
2. Cyclist travels from A to B at 250 m/min, with an angle of $1^{\circ} 5^{\prime}$ at Earth's center ( $6440 \mathrm{~km}$ radius). Time taken in hours?
3. Circle radius is 35 m. An arc subtends angle $\frac{\pi}{4}$ at the center. Find the arc length.

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Problem 2289

A cyclist travels from A to B at 250 m/min, covering an angle of $1^{\circ} 5^{\prime}$ on Earth with radius $6440 \text{ km}$ . Find the time taken in hours.

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Problem 2290

A cyclist travels from A to B at 250 m/min. The angle between A and B is $1^{\circ} 5^{\prime}$ , with Earth's radius $6440 \mathrm{~km}$ . Find the travel time in hours.

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Problem 2291

Find the length of an arc with a radius of 35 m and subtending an angle of $\frac{\pi}{4}$ at the center.

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Problem 2292

Calculate the arc length for a circle with radius 35 m and angle $\frac{\pi}{4}$ radians.

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Problem 2293

Find the perimeter of a rectangle with length $4x - 9$ and width $8x + 2$ .

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Problem 2294

Find the perimeter of a square with side length $7m - 3$ . Options: $14m - 6$ , $28m - 12$ , $49m^2 - 42m + 9$ , $49m^2 + 9$ .

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Problem 2295

A rectangular park on a map has dimensions $7 \mathrm{~cm}$ by $4 \mathrm{~cm}$ with a scale of $1: 5000$ . Find its actual area in $\mathrm{m}^{2}$ .

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Problem 2296

Find the perimeter of a hexagon with two sides of length $5p+7$ and four sides of length $3p+2$ .

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Problem 2297

A clock's minute hand is $12 \mathrm{~cm}$ long. What distance does it cover in 15 minutes?

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Problem 2298

Find the radius of the moon if it appears at an angle of $16^{\prime}$ from a distance of $237600 \mathrm{~km}$ .

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Problem 2299

Find the perimeter of a rectangle with area $102 \mathrm{~cm}^{2}$ and length $17 \mathrm{~cm}$ .

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Problem 2300

Find the perimeter of a rectangle with width $(2x+3)$ and length $(2x-4)$ . Choices: $4x-12$ , $4x-1$ , $8x-2$ , $4x^2-2x-12$ .

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Geometry

Problem 2201

the max or min value and the vertex. 3.Zeros:Axis of symmetry: Max or Min: Vertex:

Problem 2202

13 I can use the scale factor for similar triangles to find an unknown length in a real context. e.g. For the triangles formed from these yacht sails, give a reason why they are similar then use the scale factor to find the length of the hypotenuse on the larger sail.

Problem 2203

Problem 2204

Rectangle ABCDA B C DABCD is similar to rectangle EBGF.What is the value of bbb in centimters? 45 cm 20 cm 3.2 cm 36 cm

Problem 2205

Problem 2206

The two triangle shown below are similar triangles.What is the value of ddd in meters?

Problem 2207

Which rule explains why these triangles are congruent? □\square□ ASA □\square□ These triangles cannot be SAS proven congruent.

Problem 2208

Problem 2209

Problem 2210

Problem 2211

4 A circle has equation x2+y2=40x^{2}+y^{2}=40x2+y2=40 A line has equation y=3xy=3 xy=3x The line intersects the circle at two points, P and Q . Find the coordinates of P and Q .

Problem 2212

Problem 2213

In the xyx yxy-plane, the line given by which of the following is perpendicular to the line 5x−2y=75 x-2 y=75x−2y=7 ? 5x+2y=75 x+2 y=75x+2y=7 2x+5y=72 x+5 y=72x+5y=7 2x−5y可 72 x-5 y_{\text {可 }} 72x−5y可 ​7 5x−5y=105 x-5 y=105x−5y=10 5x−2y=105 x-2 y=105x−2y=10

Problem 2214

x=y=\begin{array}{l} x= \\ y= \end{array}x=y=​ □\square□ [1 [1

Problem 2215

\begin{align*} 60^\circ \\ 45^\circ \\ X \\ x = \\ y = \\ ^\circ \\ ^\circ \\ \end{align*} Find the value of xxx and yyy.

Problem 2216

Solve for x .

Problem 2217

Solve for x .

Problem 2218

What is the area of the triangle? □\square□ square units

Problem 2219

Problem 2220

Find the value of xxx.

Problem 2221

Find the value of xxx.

Problem 2222

Problem 2223

△ABC\triangle A B C△ABC is similar to △XYZ\triangle X Y Z△XYZ.What is the constant of proportionality between triangle ABCA B CABC and triangle XYZX Y ZXYZ ?

Problem 2224

Find an equation for the line that passes through the points (5,−3)(5,-3)(5,−3) and (−1,6)(-1,6)(−1,6). □\square□

Problem 2225

Solve the triangle. a=63,b=22,c=48a=63, b=22, c=48a=63,b=22,c=48 A≈A \approxA≈ □\square□ B≈B \approxB≈ □\square□ ∘{ }^{\circ}∘ C≈40∘C \approx 40^{\circ}C≈40∘ (Do not round until the final answer. Then round to the nearest degree as needed.)

Problem 2226

What is the perimeter? If necessary, round to the nearest tenth. □\square□ centimeters

Problem 2227

Solve the right triangle. 40.

Problem 2228

olications Question 3, 7.2.5 HW Score: 24.04\%, 3.13 of 13 points Points: 0 of 1 SavShade the Venn Diagram to show the set. F∪B′F \cup B^{\prime}F∪B′Use the graphing tool to graph the set

Problem 2229

What is the perimeter? If necessary, round to the nearest tenth. □\square□ centimeters

Problem 2230

41.

Problem 2231

What is the perimeter? If necessary, round to the nearest tenth. □\square□ inches

Problem 2232

What is the surface area of this cylinder? Use π≈3.14\pi \approx 3.14π≈3.14 and round your answer to the nearest hundredth. □\square□ square millimeters

Problem 2233

What is the surface area of this cylinder? Use π≈3.14\pi \approx 3.14π≈3.14 and round your answer to the nearest hundredth. □\square□ square inches

Problem 2234

What is the surface area of this cylinder? Use π≈3.14\pi \approx 3.14π≈3.14 and round your answer to the nearest hundredth. □\square□ square feet

Problem 2235

The surface area of this cylinder is 1,639.081,639.081,639.08 square millimeters. What is the height? Use π≈3.14\pi \approx 3.14π≈3.14 and round your answer to the nearest hundredth. □\square□ millimeters

Problem 2236

The surface area of this cylinder is 2,237.252,237.252,237.25 square meters. What is the height? Use π≈3.14\pi \approx 3.14π≈3.14 and round your answer to the nearest hundredth. h≈h \approxh≈ □\square□ meters

Problem 2237

What is the surface area of this cone? Use π≈3.14\pi \approx 3.14π≈3.14 and round your answer to the nearest hundredth. □\square□ square inches

Problem 2238

**Solve for all missing sides and angles in the triangle below:

Problem 2239

(in) Self-Assessment Questions Exercise 3.21. The volume of a cube is 27 cm327 \mathrm{~cm}^{3}27 cm3. Find the total area of its faces.

Problem 2240

What is the surface area of this sphere? Use π≈3.14\pi \approx 3.14π≈3.14 and round your answer to the nearest hundredth. □\square□ square meters

Problem 2241

What is the surface area of this sphere? Use π≈3.14\pi \approx 3.14π≈3.14 and round your answer to the nearest hundredth. □\square□ square centimeters

Problem 2242

What is the surface area of this sphere? Use π≈3.14\pi \approx 3.14π≈3.14 and round your answer to the nearest hundredth. □\square□ square feet

Problem 2243

What is the surface area of this sphere? Use π≈3.14\pi \approx 3.14π≈3.14 and round your answer to the nearest hundredth. □\square□ square meters

Problem 2244

the max or min value and the vertex. 3.
Zeros:
Axis of symmetry: Max or Min: Vertex:

Rectangle $A B C D$ is similar to rectangle EBGF.
What is the value of $b$ in centimters? 45 cm 20 cm 3.2 cm 36 cm

The two triangle shown below are similar triangles.
What is the value of $d$ in meters?

Which rule explains why these triangles are congruent? $\square$ ASA $\square$ These triangles cannot be SAS proven congruent.

4 A circle has equation $x^{2}+y^{2}=40$ A line has equation $y=3 x$ The line intersects the circle at two points, P and Q . Find the coordinates of P and Q .

In the $x y$ -plane, the line given by which of the following is perpendicular to the line $5 x-2 y=7$ ? $5 x+2 y=7$ $2 x+5 y=7$ $2 x-5 y_{\text {可 }} 7$ $5 x-5 y=10$ $5 x-2 y=10$

$\begin{array}{l} x= \\ y= \end{array}$ $\square$ [1 [1

\begin{align} 60^\circ \\ 45^\circ \\ X \\ x = \\ y = \\ ^\circ \\ ^\circ \\ \end{align} Find the value of $x$ and $y$ .

What is the area of the triangle? $\square$ square units

Find the value of $x$ .

Find the value of $x$ .

$\triangle A B C$ is similar to $\triangle X Y Z$ .
What is the constant of proportionality between triangle $A B C$ and triangle $X Y Z$ ?

Find an equation for the line that passes through the points $(5,-3)$ and $(-1,6)$ . $\square$

Solve the triangle. $a=63, b=22, c=48$ $A \approx$ $\square$ $B \approx$ $\square$ ${ }^{\circ}$ $C \approx 40^{\circ}$ (Do not round until the final answer. Then round to the nearest degree as needed.)

What is the perimeter? If necessary, round to the nearest tenth. $\square$ centimeters

olications Question 3, 7.2.5 HW Score: 24.04\%, 3.13 of 13 points Points: 0 of 1 Sav
Shade the Venn Diagram to show the set. $F \cup B^{\prime}$
Use the graphing tool to graph the set

What is the perimeter? If necessary, round to the nearest tenth. $\square$ centimeters

What is the perimeter? If necessary, round to the nearest tenth. $\square$ inches

What is the surface area of this cylinder? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $\square$ square millimeters

What is the surface area of this cylinder? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $\square$ square inches

What is the surface area of this cylinder? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $\square$ square feet

The surface area of this cylinder is $1,639.08$ square millimeters. What is the height? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $\square$ millimeters

The surface area of this cylinder is $2,237.25$ square meters. What is the height? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $h \approx$ $\square$ meters

What is the surface area of this cone? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $\square$ square inches

(in) Self-Assessment Questions Exercise 3.2
1. The volume of a cube is $27 \mathrm{~cm}^{3}$ . Find the total area of its faces.

What is the surface area of this sphere? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $\square$ square meters

What is the surface area of this sphere? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $\square$ square centimeters

What is the surface area of this sphere? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $\square$ square feet

What is the surface area of this sphere? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $\square$ square meters

What is the surface area of this sphere? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth $\square$ square inches

What is the surface area of this sphere? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $\square$ square inches

Vhat is the length of the missing leg? If necessary, round to the nearest tenth. $b=$ $\square$ kilometers

What is the volume of this sphere? Use $\pi \approx 3.14$ and round your answer to the nearest hundred $\square$ cubic millimeters

What is the volume of this sphere? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $\square$ cubic millimeters

What is the volume of this sphere? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth $\square$ cubic vards

What is the length of the missing leg? If necessary, round to the nearest tenth. $b=$ $\square$ centimeters Submit

On Your Own Use the functions for Problems 4-10. $f(x)=\frac{1}{2} x+2 \quad h=\{$ \begin{tabular}{r|} \hline $x$ \\ \hline $j(x)$ \\ \hline \end{tabular}
4. Which function graph has the least steep

23. Find the measure of $\angle C Y L$ . $\angle C Y L=$ $\qquad$ (C)Maneuvering the Middle LLC, 2017

28. Use the figure to answer questions $a$ and $b$ . a. Are the triangles above similar? Explain. b. If possible, find the missing side length, $x$ .

2.) If $\overline{A B} \cong \overline{E B}$ , then $\angle$ $\qquad$ $\cong \angle$ $\qquad$ .

8 Math 24-25 IDa IXL | Dilations: graph the image 囚 ixl.com/math/grade-8/dilations-graph-the-image
Graph the image of square DEFG after a dilation with a scale factor of 2 , centered at the origin.

A custodian carries a large key ring. The key ring has a radius of 4 centimeters. What key ring's circumference?
Use 3.14 for $\pi$ . If necessary, round your answer to the nearest hundredth. $\square$ centimeters Submit

Use less than, equal to, or greater than to complete this statement: The measure of each exterior angle of a regular 10-gon is $\qquad$ the measure of each exterior angle of a regular 6-gon.
Select one: a. cannot tell b. less than c. greater than d. equal to

The rectangle $C^{\prime} D^{\prime} E^{\prime} F^{\prime}$ is a dilation of the rectangle $C D E F$ . What is the scale factor of the dilation?

The round temperature dial on a thermostat has a radius of 1 inch. What is the dial's diameter? $\square$ inches Submit

Write the coordinates of the vertices after a dilation with a scale factor of $\frac{1}{3}$ , centered at the origin.

How many sides does a regular polygon have if each exterior angle measures 30 ?
Select one: a. 15 sides b. 12 sides c. 14 sides d. 11 sides

The length of a rectangle is 6 inches longer than it is wide. If the area is 160 square inches, what are the dimensions of the rectangle?
The width, or shorter side is $\square$ inches
The length, or longer side is $\square$ inches Submit Question Question 11 0/1 pt 3 99 Details

3. Kyle says that $\Delta J K L$ is congruent to $\Delta L M J$ by the SSS Congruence Theorem. Ava says that $\Delta J K L$ is congruent to $\triangle L M J$ by the HL. Congruence Theorem. Who is correct? Explain your response.

Find $D F$ .
Write your answer as an integer or as a decimal rounded to the nearest tenth.

Find $W Y$ .
Write your answer in simplified, rationalized form. Do not round.

In the figure below, $l \| m$ . Find $x$ . $x=$

In the figure below, $l \| m$ . Find $x$ . $x=$

Find QS.
Write your answer as an integer or as a decimal rounded to the nearest tenth. $Q S=$ $\square$

3. Calculate the surface area of the triangular prism:
Answer: 132 cm² $^{2}$

Copy a figure twice, cut out, label as $A$ and $B$ , then check if side lengths and angles are the same to determine congruence.

Check if triangles $\triangle ABC$ and $\triangle XYZ$ are congruent using transformations: reflect and translate.