The lengths of the sides of quadrilateral ABCD are shown on the right. Which one of the following quadrilaterals is similar to quadrilateral ABCD? (Note: The quadrilaterals are not drawn to scale.)

Quadrilateral with sides 8 in., 2 in., 6 in., 4 in.

Quadrilateral with sides 16 in., 4 in., 12 in., 8 in.

Quadrilateral with sides 5 in., 1.5 in., 3 in., 6 in.

Quadrilateral with sides 10 in., 2.5 in., 7.5 in., 5 in.

Triangle A has two interior angles that measure 24° and 76°. Triangle B has two interior angles that measure 24° and 80°. Which one of the following statements is true?

There is not enough information to determine whether the two triangles are similar or not.

Triangle A is similar to triangle B because the interior angles of the two triangles have the same measures.

Triangle A is not similar to triangle B because the interior angles of the two triangles do not have the same measures.

Triangle A is not similar to triangle B because one interior angle of triangle B is greater than that of triangle A.

One of the angles of right triangle P measures 65°. One of the angles of right triangle Q measures 35°. Which one of the following statements is true?

There is not enough information to determine whether the two triangles are similar or not.

Triangle P is similar to triangle Q because the interior angles of the two triangles have the same measures.

Triangle P is not similar to triangle Q because the interior angles of the two triangles do not have the same measures.

Triangle P is similar to triangle Q because the two triangles are both right triangles.

Triangle ABC is dilated to create triangle A'B'C'. Which one of the following statements is true about the angles of the two triangles?

The measures of each pair of corresponding angles are congruent.

The measures of each pair of corresponding angles are proportional.

Each angle of triangle ABC was dilated by a scale factor that is greater than one.

Each angle of triangle ABC was dilated by a scale factor that is less than one.

Triangle ABC is dilated to create triangle A'B'C'. Which one of the following statements is true about the sides of the two triangles?

The ratio of the lengths of each pair of corresponding sides are proportional.

The lengths of each pair of corresponding sides are congruent.

The length of each side of triangle ABC was dilated by a scale factor of 1/3.

The measure of the length of each side of triangle ABC was dilated by a scale factor of 1/9.

Triangle MNO is dilated to create triangle M'N'O'. Which one of the following statements is NOT true about the angles of the two triangles?

Each pair of corresponding angles of triangles MNO and M'N'O' are not congruent because triangle MNO was dilated by a scale factor of 1/3 to create triangle M'N'O'

The measure of angle M is congruent to the measure of angle M'

The measure of angle O is congruent to the measure of angle O'

Each pair of corresponding angles of triangles MNO and M'N'O' are congruent even though triangle MNO was dilated by a scale factor of 1/3 to create triangle M'N'O'

Triangle MNO is dilated to create triangle M'N'O'. Which one of the following statements is NOT true about the sides of the two triangles?

The measures of each pair of corresponding sides are proportional.

Side MO was dilated by a scale factor of 1/2 to create side M'O'.

Side MN was dilated by a scale factor of 1/2 to create side M'N'.

The measure of each side of triangle MNO was dilated by the same scale factor.

Parallelogram PQRS is dilated to create parallelogram P'Q'R'S'. Which one of the following statements is true about the angles of the two parallelograms?

Corresponding angles of parallelograms PQRS and P'Q'R'S' are all congruent

Each angle of parallelogram PQRS was dilated by a scale factor 1/3

Corresponding angles of parallelograms PQRS and P'Q'R'S' are proportional

Each angle of parallelogram PQRS was dilated by a scale factor 3

Parallelogram PQRS is dilated to create parallelogram P'Q'R'S'. Which one of the following statements is true about the sides of the two parallelograms?

The ratio of the lengths of the corresponding sides of the dilated parallelogram to the original parallelogram is 3

The ratio of the lengths of the corresponding sides of the dilated parallelogram to the original parallelogram is 1/3

The ratio of the lengths of the corresponding sides of the dilated parallelogram to the original parallelogram is 2

The ratio of the lengths of the corresponding sides of the dilated parallelogram to the original parallelogram is 1/2

Trapezoid EFGH is dilated to create trapezoid E'F'G'H'. Which one of the following statements is NOT true about the angles of the two trapezoids?

Each pair of corresponding angles of trapezoids EFGH and E'F'G'H' are not congruent because trapezoid EFGH was dilated by a scale factor of less than 1 to create trapezoid E'F'G'H'.

The measure of angle F' is equal to the measure of angle F.

The measure of angle H is equal to the measure of angle H'.

Each pair of corresponding angles of trapezoids EFGH and E'F'G'H' are congruent even though trapezoid EFGH was dilated by a scale factor of less than 1 to create trapezoid E'F'G'H'.

8.3 Transformations Questions

Quiz

•

Mathematics

•

8th Grade

•

Practice Problem

•

Hard

•

CCSS

8.G.A.3, HSG.SRT.A.2, 7.G.A.1

+5

Standards-aligned

Mr. Simpson

FREE Resource

80 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

These two triangles are similar. Which one of the following proportional relationships is true? (Note: The triangles are not drawn to scale.)

AB/BC = XZ/YZ

AC/YZ = AB/XY

AC/AB = XZ/XY

AB/YZ = BC/XZ

Tags

8.3A

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

These two triangles are similar. What is the length of side FG of the bigger triangle? (Note: The triangles are not drawn to scale.)

15 inches

20 inches

18 inches

12 inches

Tags

8.3A

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Triangle MNO is similar to triangle CDE. Which one of the following proportional relationships is true?

MO/DE = NO/CD

MN/DE = MO/CD

MN/CD = MO/DE

MN/CD = NO/DE

Tags

CCSS.HSG.SRT.A.2

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Triangle EFG is similar to triangle PQR. What is the measure of angle PRQ of the bigger triangle? (Note: The triangles are not drawn to scale.)

72°

76°

84°

88°

Tags

CCSS.HSG.SRT.A.2

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The lengths of the sides of triangle ABC are shown on the right. Which one of the following triangles is similar to triangle ABC? (Note: The triangles are not drawn to scale.)

Triangle with sides 8 in, 15 in, and 7 in.

Triangle with sides 10 in, 15 in, and 8 in.

Triangle with sides 9 in, 6 in, and 7 in.

Triangle with sides 9 in, 4 in, and 6 in.

Tags

CCSS.HSG.SRT.A.2

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

These two triangles are similar. Which one of the following proportional relationships is NOT true? (Note: The triangles are not drawn to scale.)

ST/PQ = TU/QR

ST/SU = PQ/PR

ST/TU = PQ/QR

ST/TU = QR/PQ

Tags

CCSS.HSG.SRT.A.2

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

These two triangles are similar. What is the length of side TU of the smaller triangle? (Note: The triangles are not drawn to scale.)

3 inches

8 inches

6 inches

9 inches

Tags

CCSS.HSG.SRT.A.2

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8.3 Transformations Questions

80 questions

These two triangles are similar. Which one of the following proportional relationships is true? (Note: The triangles are not drawn to scale.)

These two triangles are similar. What is the length of side FG of the bigger triangle? (Note: The triangles are not drawn to scale.)

Triangle MNO is similar to triangle CDE. Which one of the following proportional relationships is true?

Triangle EFG is similar to triangle PQR. What is the measure of angle PRQ of the bigger triangle? (Note: The triangles are not drawn to scale.)

The lengths of the sides of triangle ABC are shown on the right. Which one of the following triangles is similar to triangle ABC? (Note: The triangles are not drawn to scale.)

These two triangles are similar. Which one of the following proportional relationships is NOT true? (Note: The triangles are not drawn to scale.)

These two triangles are similar. What is the length of side TU of the smaller triangle? (Note: The triangles are not drawn to scale.)

Triangle ABC is similar to triangle MNO. Which one of the following proportional relationships is NOT true?

Triangle ABC is similar to triangle RST. What is the measure of angle ACB of the smaller triangle? (Note: The triangles are not drawn to scale.)

These two quadrilaterals are similar. Which one of the following proportional relationships is true? (Note: The quadrilaterals are not drawn to scale.)

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