Rotate ΔPQR 90 o counterclockwise about the origin. P(-5 , 2) ; Q(1 , 5) ; R(3 , -2)

P'(-2 , -5) ; Q'(-5 , 1) ; R'(2 , 3)

P'(2 , -5) ; Q'(5 , 1) ; R'(-2 , 3)

P'(2 , 5) ; Q'(5 , -1) ; R'(-2 , -3)

P'(-2 , 5) ; Q'(-5 , -1) ; R'(2 , -3)

Rotate ΔPQR 180 o about the origin. P(-5 , 2) ; Q(1 , 5) ; R(3 , -2)

P'(5 , -2) ; Q'(-1 , -5) ; R'(-3 , 2)

P'(-2 , -5) ; Q'(-5 , 1) ; R'(2 , 3)

P'(-5 , -2) ; Q'(1 , -5) ; R'(3 , -2)

P'(2 , 5) ; Q'(5 , -1) ; R'(-2 , -3)

Rotate ΔPQR 270 o counterclockwise about the origin. P(-5 , 2) ; Q(1 , 5) ; R(3 , -2)

P'(2 , 5) ; Q'(5 , -1) ; R'(-2 , -3)

P'(-2 , -5) ; Q'(-5 , 1) ; R'(2 , 3)

P'(-5 , -2) ; Q'(1 , -5) ; R'(3 , -2)

P'(5 , -2) ; Q'(-1 , -5) ; R'(-3 , 2)

The center of dilation is the origin. Dilate ΔEFG given a scale factor of 3. E(4 , 9) ; F(-3 , 12) ; G(2 , -8)

E'(12 , 27) ; F'(-9 , 36) ; G'(6 , -24)

E'(4/3 , 3) ; F'(-1 , 4) ; G'(2/3 , -8/3)

E'(7 , 12) ; F'(0 , 15) ; G'(5 , -5)

E'(1 , 6) ; F'(-6 , 9) ; G'(-1 , -11)

Enlargement or reduction? Find the scale factor!

It's a reduction; the scale factor is 1/2.

It's a reduction; the scale factor is 2.

It's an enlargement; the scale factor is 2.

It's an enlargement; the scale factor is 1/2.

Enlargement or reduction? Find the scale factor!

It's an enlargement; the scale factor is 2.

It's an enlargement; the scale factor is 1/2.

It's a reduction; the scale factor is 1/2.

It's a reduction; the scale factor is 2.

Rotations, Dilations, and Sequences

Authored by Barbara White

Mathematics

8th - 10th Grade

CCSS covered

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76 questions

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

If you were to rotate ABCD 180° about the origin, what would the coordinate of A' be?

(-5, 5)

(-3, -5)

(-5, 3)

(-3, 3)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

How many degrees was the figure rotated?

90 degrees counterclockwise

180 degrees

270 counterclockwise

90 degrees clockwise

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

A dilation is which of the following:

An enlargement

A reduction

Either an enlargement or a reduction

Neither an enlargement or a reduction

Tags

CCSS.8.G.A.3

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

The point (8, 12) was dilated to become point (2, 3). What was the scale factor?

Tags

CCSS.8.G.A.3

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.

(5,3)

(20,12)

(-20,-12)

(-5,-3)

Tags

CCSS.8.G.A.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor k = 2.

(2,4.5)

(-8,-18)

(8,18)

(9,4)

Tags

CCSS.8.G.A.3

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?

(5,3), (6,2), (1,-2)

(6,0), (9,-3), (-6,-15)

(2/3,0), (1,-1/3), (-2/3,-5/3)

(-1,-3), (0,-4), (-5,-8)

Tags

CCSS.8.G.A.3

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Rotations, Dilations, and Sequences

If you were to rotate ABCD 180° about the origin, what would the coordinate of A' be?

How many degrees was the figure rotated?

A dilation is which of the following:

The point (8, 12) was dilated to become point (2, 3). What was the scale factor?

State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.

State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor k = 2.

A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?

Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?
A(3,3) B(6,6) C(9,3)

Which rule best represents the dilation that was applied to Figure S to create Figure T?

An office supply store sells index cards in two different sizes. The large size is a dilation of the small size. Both sizes are shown. Find the scale factor of the dilation.

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Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Rotations, Dilations, and Sequences

If you were to rotate ABCD 180° about the origin, what would the coordinate of A' be?

How many degrees was the figure rotated?

A dilation is which of the following:

The point (8, 12) was dilated to become point (2, 3). What was the scale factor?

State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.

State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor k = 2.

A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?

Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?A(3,3) B(6,6) C(9,3)

Which rule best represents the dilation that was applied to Figure S to create Figure T?

An office supply store sells index cards in two different sizes. The large size is a dilation of the small size. Both sizes are shown. Find the scale factor of the dilation.

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?
A(3,3) B(6,6) C(9,3)