Math / Geometry

QuestionWrite the coordinates of the vertices after a translation 7 units down.

Studdy Solution

STEP 1

What is this asking? We need to shift each point downwards by 7 units and write their new coordinates! Watch out! Don't accidentally shift the points upwards or sideways!
We're only moving them down.

STEP 2

1. Shift Point R
2. Shift Point Q
3. Shift Point S

STEP 3

Our initial point R is at $(-4, 4)$ .
Since we're translating downwards, we only need to change the y-coordinate.
Remember, moving down means subtracting from the y-coordinate.

STEP 4

So, we take our initial y-coordinate, which is $4$ , and subtract $7$ from it: $4 - 7 = -3$ .
Our new y-coordinate is $-3$ !

STEP 5

The x-coordinate stays the same, so our new point R' is at $(-4, -3)$ .
Awesome!

STEP 6

Point Q starts at $(-4, 2)$ .
Again, we're moving down, so we'll subtract $7$ from the y-coordinate.

STEP 7

We have $2 - 7 = -5$ .
So, our new y-coordinate is $-5$ !

STEP 8

Keeping the x-coordinate the same, our new point Q' is at $(-4, -5)$ .
Fantastic!

STEP 9

Point S begins at $(5, 3)$ .
Let's shift it down by $7$ units.

STEP 10

Taking the y-coordinate, $3$ , and subtracting $7$ , we get $3 - 7 = -4$ .
Our new y-coordinate is $-4$ !

STEP 11

The x-coordinate remains unchanged, giving us the new point S' at $(5, -4)$ .
Wonderful!

STEP 12

Our translated points are R' at $(-4, -3)$ , Q' at $(-4, -5)$ , and S' at $(5, -4)$ .

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QuestionWrite the coordinates of the vertices after a translation 7 units down.

Studdy Solution

STEP 1

What is this asking? We need to shift each point downwards by 7 units and write their new coordinates! Watch out! Don't accidentally shift the points upwards or sideways!
We're only moving them down.

STEP 2

1. Shift Point R
2. Shift Point Q
3. Shift Point S

STEP 3

Our initial point R is at $(-4, 4)$ .
Since we're translating downwards, we only need to change the y-coordinate.
Remember, moving down means subtracting from the y-coordinate.

STEP 4

So, we take our initial y-coordinate, which is $4$ , and subtract $7$ from it: $4 - 7 = -3$ .
Our new y-coordinate is $-3$ !

STEP 5

The x-coordinate stays the same, so our new point R' is at $(-4, -3)$ .
Awesome!

STEP 6

Point Q starts at $(-4, 2)$ .
Again, we're moving down, so we'll subtract $7$ from the y-coordinate.

STEP 7

We have $2 - 7 = -5$ .
So, our new y-coordinate is $-5$ !

STEP 8

Keeping the x-coordinate the same, our new point Q' is at $(-4, -5)$ .
Fantastic!

STEP 9

Point S begins at $(5, 3)$ .
Let's shift it down by $7$ units.

STEP 10

Taking the y-coordinate, $3$ , and subtracting $7$ , we get $3 - 7 = -4$ .
Our new y-coordinate is $-4$ !

STEP 11

The x-coordinate remains unchanged, giving us the new point S' at $(5, -4)$ .
Wonderful!

STEP 12

Our translated points are R' at $(-4, -3)$ , Q' at $(-4, -5)$ , and S' at $(5, -4)$ .

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QuestionWrite the coordinates of the vertices after a translation 7 units down.

Studdy Solution

STEP 1

What is this asking? We need to shift each point downwards by 7 units and write their new coordinates! Watch out! Don't accidentally shift the points upwards or sideways!We're only moving them *down*.

STEP 2

1. Shift Point R2. Shift Point Q3. Shift Point S

STEP 3

Our **initial** point R is at (−4,4)(-4, 4)(−4,4).Since we're translating downwards, we only need to change the y-coordinate.Remember, moving down means *subtracting* from the y-coordinate.

STEP 4

So, we take our **initial** y-coordinate, which is 444, and subtract 777 from it: 4−7=−34 - 7 = -34−7=−3.Our new y-coordinate is −3-3−3!

STEP 5

The x-coordinate stays the same, so our **new** point R' is at (−4,−3)(-4, -3)(−4,−3).Awesome!

STEP 6

Point Q starts at (−4,2)(-4, 2)(−4,2).Again, we're moving down, so we'll subtract 777 from the y-coordinate.

STEP 7

We have 2−7=−52 - 7 = -52−7=−5.So, our new y-coordinate is −5-5−5!

STEP 8

Keeping the x-coordinate the same, our **new** point Q' is at (−4,−5)(-4, -5)(−4,−5).Fantastic!

STEP 9

Point S begins at (5,3)(5, 3)(5,3).Let's shift it down by 777 units.

STEP 10

Taking the y-coordinate, 333, and subtracting 777, we get 3−7=−43 - 7 = -43−7=−4.Our new y-coordinate is −4-4−4!

STEP 11

The x-coordinate remains unchanged, giving us the **new** point S' at (5,−4)(5, -4)(5,−4).Wonderful!

STEP 12

Our translated points are R' at (−4,−3)(-4, -3)(−4,−3), Q' at (−4,−5)(-4, -5)(−4,−5), and S' at (5,−4)(5, -4)(5,−4).

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What is this asking? We need to shift each point downwards by 7 units and write their new coordinates! Watch out! Don't accidentally shift the points upwards or sideways!
We're only moving them down.

1. Shift Point R
2. Shift Point Q
3. Shift Point S

Our initial point R is at $(-4, 4)$ .
Since we're translating downwards, we only need to change the y-coordinate.
Remember, moving down means subtracting from the y-coordinate.

So, we take our initial y-coordinate, which is $4$ , and subtract $7$ from it: $4 - 7 = -3$ .
Our new y-coordinate is $-3$ !

The x-coordinate stays the same, so our new point R' is at $(-4, -3)$ .
Awesome!

Point Q starts at $(-4, 2)$ .
Again, we're moving down, so we'll subtract $7$ from the y-coordinate.

We have $2 - 7 = -5$ .
So, our new y-coordinate is $-5$ !

Keeping the x-coordinate the same, our new point Q' is at $(-4, -5)$ .
Fantastic!

Point S begins at $(5, 3)$ .
Let's shift it down by $7$ units.

Taking the y-coordinate, $3$ , and subtracting $7$ , we get $3 - 7 = -4$ .
Our new y-coordinate is $-4$ !

The x-coordinate remains unchanged, giving us the new point S' at $(5, -4)$ .
Wonderful!

Our translated points are R' at $(-4, -3)$ , Q' at $(-4, -5)$ , and S' at $(5, -4)$ .