The parallelogram on the left was dilated by a scale factor of 2 about point P . It was then transformed in another way to produce the parallelogram on the right. Which identifies the transformation that occurred after the dilation?

a translation of 9 units to the right

a reflection across the x -axis

a reflection across the y -axis

Quadrilateral H ' is the image of quadrilateral H after a sequence of transformations. If quadrilateral H ' is congruent to quadrilateral H , which transformations could have been used?

a translation of 6 units down, a rotation, and then a reflection

a dilation by a scale factor of 2 followed by a reflection

a rotation followed by a dilation by a scale factor of 1/2

a reflection, a translation of 1 unit left, and then a dilation by a scale factor of 3

Triangle QNP was dilated by a scale factor of 1/3 about point P . It was then transformed in another way to produce triangle Q'N'P' Which identifies the transformation that occurred after the dilation?

a 90 degrees clockwise rotation about the origin

a 180 degrees clockwise rotation about the origin

a reflection across the x -axis

a reflection across the y -axis

Which describes how triangle FGH could be transformed to triangle F'G'H' in two steps? Which identifies the transformation that occurred after the dilation?

a dilation by a scale factor of 4 and then a reflection across the x -axis

a dilation by a scale factor of 3 and then a reflection across the x -axis

a dilation by a scale factor of 3 and then a 180 degrees rotation about the origin

a dilation by a scale factor of 4 and then a 180 degrees rotation about the origin

A triangle is dilated by a scale factor of 1/5 and then rotated 90 degrees clockwise about the origin. Why is the image similar to the pre-image? Check all that apply.

The corresponding angles of the triangles are congruent.

The image is a reduction of the pre-image.

Neither the dilation nor the rotation change the shape of the triangle.

The corresponding sides of the triangles are congruent.

The corresponding sides of the image are 5 times as long as those of the pre-image.

Properties of Similarity Transformations

Quiz

•

Mathematics

•

8th Grade

•

Practice Problem

•

Hard

•

CCSS

8.G.A.3, HSG.SRT.A.2, 8.G.A.2

+3

Standards-aligned

Barbara White

FREE Resource

18 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which statement is true of rectangles Y and Z?

They are congruent because their corresponding angles are congruent.

They are similar because their corresponding angles are congruent.

They are similar because their corresponding side lengths are proportional.

They are not similar because their corresponding side lengths are not proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which statement is true of triangles P and Q?

They are similar because their corresponding angles have proportional measures and their corresponding sides are congruent.

They are not similar because their corresponding angles are congruent.

They are similar because their corresponding angles are congruent and their corresponding side lengths are proportional.

They are not similar because their corresponding side lengths are not proportional.

Tags

CCSS.HSG.SRT.A.2

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which statement describes the relationship, if any, that exists between triangle KLM and triangle NPQ?

They are similar because their corresponding angles are congruent and their corresponding side lengths are in the ratio 3/2 from Triangle KLM to NPQ .

They are similar because their corresponding angles are congruent and their corresponding side lengths are in the ratio 2/1 from Triangle KLM to NPQ .

They are not similar because their corresponding angles are not congruent.

They are not similar because their corresponding side lengths are not proportional.

Tags

CCSS.HSG.SRT.A.2

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which figure is similar to the parallelogram? (Figures may not be drawn to scale.)

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which statement is true of triangles QRS and MNP?

They are congruent because their corresponding angles are congruent and their corresponding side lengths are congruent.

They are similar because their corresponding angles are congruent and their corresponding side lengths are proportional.

They are not similar because their corresponding angles are not congruent.

They are not similar because their corresponding side lengths are not proportional.

Tags

CCSS.HSG.SRT.A.2

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Rectangle R was dilated to form rectangle R' .
Which is the scale factor of the dilation?

Tags

CCSS.8.G.A.3

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Triangle T was dilated to form triangle T' .
Which ratio is the correct scale factor? (Figures not drawn to scale.)

Tags

CCSS.8.G.A.3

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Properties of Similarity Transformations

18 questions

Which statement is true of rectangles Y and Z?

Which statement is true of triangles P and Q?

Which statement describes the relationship, if any, that exists between triangle KLM and triangle NPQ?

Which figure is similar to the parallelogram? (Figures may not be drawn to scale.)

Which statement is true of triangles QRS and MNP?

Rectangle R was dilated to form rectangle R' .
Which is the scale factor of the dilation?

Triangle T was dilated to form triangle T' .
Which ratio is the correct scale factor? (Figures not drawn to scale.)

The smaller triangle was dilated to form the larger triangle. What is the value of x?

The smaller triangle was dilated to form the larger triangle. What is the value of x?

Rectangle M was dilated to form rectangle M’.
What ratio is the scale factor?

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Properties of Similarity Transformations

18 questions

Which statement is true of rectangles Y and Z?

Which statement is true of triangles P and Q?

Which statement describes the relationship, if any, that exists between triangle KLM and triangle NPQ?

Which figure is similar to the parallelogram? (Figures may not be drawn to scale.)

Which statement is true of triangles QRS and MNP?

Rectangle R was dilated to form rectangle R' .Which is the scale factor of the dilation?

Triangle T was dilated to form triangle T' .Which ratio is the correct scale factor? (Figures not drawn to scale.)

The smaller triangle was dilated to form the larger triangle. What is the value of x?

The smaller triangle was dilated to form the larger triangle. What is the value of x?

Rectangle M was dilated to form rectangle M’.What ratio is the scale factor?

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Rectangle R was dilated to form rectangle R' .
Which is the scale factor of the dilation?

Triangle T was dilated to form triangle T' .
Which ratio is the correct scale factor? (Figures not drawn to scale.)

Rectangle M was dilated to form rectangle M’.
What ratio is the scale factor?