Quiz about 8.3 Transformations Questions

Question 1

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

Accepted Answer

AC/YZ = AB/XY

Answer

AB/BC = XZ/YZ

Answer

AC/AB = XZ/XY

Answer

AB/YZ = BC/XZ

Question 2

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

Accepted Answer

18 inches

Answer

15 inches

Answer

20 inches

Answer

12 inches

Question 3

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

Accepted Answer

MN/DE = MO/CD

Answer

MO/DE = NO/CD

Answer

MN/CD = MO/DE

Answer

MN/CD = NO/DE

Question 4

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.)

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 5

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

Accepted Answer

ST/TU = QR/PQ

Answer

ST/PQ = TU/QR

Answer

ST/SU = PQ/PR

Answer

ST/TU = PQ/QR

Question 6

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

Accepted Answer

6 inches

Answer

3 inches

Answer

8 inches

Answer

9 inches

Question 7

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

Accepted Answer

MN/NO = AB/AC

Answer

AB/BC = MN/NO

Answer

AB/MN = BC/NO

Answer

MN/MO = AB/AC

Question 8

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

Accepted Answer

AB/MN = CD/NO

Answer

BC/AD = MN/MP

Answer

CD/AB = OP/MN

Answer

AD/CD = MP/NO

Question 9

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

Accepted Answer

Triangle NMO

Answer

Triangle NOM

Answer

Triangle ONM

Answer

Triangle MNO

Question 10

These two quadrilaterals are similar. What is the length of side RS of the bigger quadrilateral? (Note: The quadrilaterals are not drawn to scale.)

Accepted Answer

15 inches

Answer

18 inches

Answer

10 inches

Answer

12 inches

Question 11

Quadrilateral PQRS is similar to quadrilateral ABCD. Which one of the following proportional relationships is true?

Accepted Answer

AD / QR = CD / RS

Answer

BC / QR = AD / RS

Answer

CD / RS = AB / QR

Answer

AB / PQ = BC / QR

Question 12

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.)

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 13

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

Accepted Answer

TU / FG = SV / EH

Answer

ST / EF = UV / GH

Answer

SV / EH = ST / EF

Question 14

These two quadrilaterals are similar. What is the length of side EF of the smaller quadrilateral? (Note: The quadrilaterals are not drawn to scale.)

Accepted Answer

8 inches

Answer

5 inches

Answer

25 inches

Answer

20 inches

Question 15

Quadrilateral MNOP is similar to quadrilateral QRST. Which one of the following proportional relationships is NOT true?

Accepted Answer

NO / RS = MP / QT

Answer

MN / QR = NO / RS

Answer

MN / QR = MP / QT

Answer

NO / ST = MP / QT

Question 16

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.)

Accepted Answer

Quadrilateral C

Answer

Quadrilateral A

Answer

Quadrilateral B

Answer

Quadrilateral D

Question 17

Triangle ABC is similar to triangle DEF. If the length of side AB is 18 inches, side BC is 24 inches, side AC is 30 inches, and side EF is 4 inches, what is the length of side DF?

Accepted Answer

5 inches

Answer

3 inches

Answer

8 inches

Answer

6 inches

Question 18

Triangle XYZ is similar to triangle RST. If the length of side XY is 15 inches, side YZ is 18 inches, side XZ is 24 inches, and side ST is 6 inches, what is the length of side RT?

Accepted Answer

9 inches

Answer

6 inches

Answer

3 inches

Answer

8 inches

Question 19

Parallelogram MNOP is similar to parallelogram STUV. If the length of side NO is 40 inches, OP is 35 inches, and ST is 7 inches, what is the length of side SV?

Accepted Answer

5 inches

Answer

40 inches

Answer

35 inches

Answer

7 inches

Question 20

Triangle FGH was dilated to make triangle F'G'H'. What is the length of side H'G' of the bigger triangle? (Note: The triangles are not drawn to scale.)

Accepted Answer

18 inches

Answer

24 inches

Answer

12 inches

Answer

16 inches

Question 21

Triangle XYZ was dilated to make triangle X'Y'Z'. What is the length of side XZ of the smaller triangle? (Note: The triangles are not drawn to scale.)

Accepted Answer

1.5 inches

Answer

2.5 inches

Answer

3 inches

Answer

1.25 inches

Question 22

Triangle PQR was dilated to make triangle P'Q'R'. What is the length of side R'Q' of the smaller triangle? (Note: The triangles are not drawn to scale.)

Accepted Answer

4 inches

Answer

8 inches

Answer

5 inches

Answer

6 inches

Question 23

Triangle ABC is dilated to create triangle A'B'C'. What is the ratio of the length of side B'C' to the length of side BC?

Accepted Answer

3

Answer

1/3

Answer

1/4

Answer

4

Question 24

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?

Accepted Answer

The measures of each pair of corresponding angles are congruent.

Answer

The measures of each pair of corresponding angles are proportional.

Answer

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

Answer

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

Question 25

Triangle ABC is dilated to create triangle A'B'C'. What is the ratio of the area of triangle A'B'C' to the area of triangle ABC?

Accepted Answer

9

Answer

1/3

Answer

1/9

Answer

3

Question 26

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?

Accepted Answer

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

Answer

The lengths of each pair of corresponding sides are congruent.

Answer

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

Answer

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

Question 27

Triangle ABC will be dilated by a scale factor of 4 to create triangle A'B'C'. If the coordinates of vertex A' of triangle A'B'C' are (8, 6), what are the coordinates of vertex B?

Accepted Answer

(4, 8)

Answer

(8, 4)

Answer

(4, 4)

Answer

(8, 8)

Question 28

Triangle MNO is dilated to create triangle M'N'O'. What is the ratio of the length of side M'O' to the length of side MO?

Accepted Answer

3

Answer

2

Answer

1/3

Answer

1/2

Question 29

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?

Accepted Answer

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'

Answer

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

Answer

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

Answer

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'

Question 30

Triangle MNO is dilated to create triangle M'N'O'. What is the ratio of the area of triangle M'N'O' to the area of triangle MNO?

Accepted Answer

4

Answer

1/2

Answer

1/4

Answer

2

Question 31

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?

Accepted Answer

The measures of each pair of corresponding sides are proportional.

Answer

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

Answer

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

Answer

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

Question 32

Triangle MNO will be dilated by a scale factor of 1/2 to create triangle M'N'O'. If the coordinates of vertex N' of triangle M'N'O' are (2,2), what are the coordinates of vertex M'?

Accepted Answer

(4, 4)

Answer

(3, 3)

Answer

(3, 4)

Answer

(4, 3)

Question 33

The coordinates of the vertices of a triangle are (2, 3), (2, 7), and (5, 3). The triangle is dilated with a scale factor of 3 using the origin as the center of dilation. Which one of the following could be the coordinates of a vertex of the dilated triangle?

Accepted Answer

(15, 3)

Answer

(6, 2)

Answer

(2, 9)

Answer

(5, 10)

Question 34

The coordinates of the vertices of a triangle are (1, 1), (1, 5), and (4, 1). The triangle is dilated with a scale factor of 2 using the origin as the center of dilation. Which one of the following is NOT the length of a side of the dilated triangle?

Accepted Answer

10 units

Answer

8 units

Answer

12 units

Answer

6 units

Question 35

The coordinates of the vertices of a triangle are (2, 1), (2, 6), and (7, 1). The triangle is dilated with a scale factor of 4 using the origin as the center of dilation. Which one of the following could NOT be the coordinates of a vertex of the dilated triangle?

Accepted Answer

(8, 24)

Answer

(28, 4)

Answer

(28, 24)

Answer

(8, 4)

Question 36

Triangle XYZ is dilated by a scale factor of 1/2 to create triangle X'Y'Z'. If the area of triangle XYZ is 20 square inches, what is the area of triangle X'Y'Z'?

Accepted Answer

5 square inches

Answer

4 square inches

Answer

10 square inches

Answer

12 square inches

Question 37

Parallelogram PQRS is dilated to create parallelogram P'Q'R'S'. What is the ratio of the length of side P'S' to the length of side PS?

Accepted Answer

1/4

Answer

4

Answer

3

Answer

1/3

Question 38

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?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 39

Parallelogram PQRS is dilated to create parallelogram P'Q'R'S'. What is the ratio of the area of parallelogram P'Q'R'S' to the area of parallelogram PQRS?

Accepted Answer

3

Answer

6

Answer

9

Answer

12

Question 40

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?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 41

Parallelogram PQRS will be dilated by a scale factor of 6 to create parallelogram P'Q'R'S'. If the coordinates of vertex P' of parallelogram P'Q'R'S' are (6, 30), what are the coordinates of vertex R'?

Accepted Answer

(24, 18)

Answer

(18, 24)

Answer

(24, 24)

Answer

(18, 18)

Question 42

Trapezoid EFGH is dilated to create trapezoid E'F'G'H'. What is the ratio of the length of side E'F' to the length of side EF?

Accepted Answer

2

Answer

1/4

Answer

1/2

Answer

4

Question 43

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?

Accepted Answer

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'.

Answer

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

Answer

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

Answer

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'.

Question 44

Trapezoid EFGH is dilated to create trapezoid E'F'G'H'. What is the ratio of the area of trapezoid E'F'G'H' to the area of trapezoid EFGH?

Accepted Answer

4

Answer

2

Answer

1/2

Answer

1/4

Question 45

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

Accepted Answer

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

Answer

The length of side EH' is congruent to the length of side EH.

Answer

The ratios of the length of corresponding sides of the original trapezoid to the dilated trapezoid are 2.

Answer

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

Question 46

Quadrilateral EFGH will be dilated by a scale factor of 3 to create quadrilateral E'F'G'H'. If the coordinates of vertex F' of quadrilateral E'F'G'H' are (21, q), what are the coordinates of vertex G'?

Accepted Answer

(21, 9)

Answer

(9, 3)

Answer

(15, 0)

Answer

(12, 12)

Question 47

Rectangle WXYZ is dilated by a scale factor of 6 to create rectangle W'X'Y'Z'. If the area of rectangle WXYZ is 3 square inches, what is the area of rectangle W'X'Y'Z'?

Accepted Answer

108 square inches

Answer

36 square inches

Answer

54 square inches

Answer

72 square inches

Question 48

The coordinates of the vertices of a square are (1, 3), (5, 3), (5, 7), and (1, 7). The square is dilated with a scale factor of 5/2, using the origin as the center of dilation. Which one of the following could be the coordinates of a vertex of the dilated square?

Accepted Answer

(25/2, 15/2)

Answer

(3/2, 5/2)

Answer

(25/2, 7/2)

Answer

(5/2, 5/2)

Question 49

The coordinates of the vertices of a square are (4, 2), (4, 8), (10, 8), and (10, 2). The square is dilated with a scale factor of 1/3, using the origin as the center of dilation. Which one of the following is the length of a side of the dilated square?

Accepted Answer

2 units

Answer

3 units

Answer

4 units

Answer

6 units

Question 50

The figure below shows triangle MNO on a coordinate plane. If the triangle is dilated by a scale factor of 1/4 with the origin as the center of dilation, what are the coordinates of vertex N' of the dilated triangle M'N'O'?

Accepted Answer

(4, 4)

Answer

(8, 4)

Answer

(4, 8)

Answer

(8, 8)

Question 51

Triangle EFG is dilated to create triangle E'F'G' using the origin as the center of dilation. Which one of the following statements is true?

Accepted Answer

Triangle EFG is dilated by a scale factor of 2 to create triangle E'F'G'.

Answer

Triangle EFG is dilated by a scale factor of 1 to create triangle E'F'G'.

Answer

Triangle EFG is dilated by a scale factor of 6 to create triangle E'F'G'.

Answer

Triangle EFG is dilated by a scale factor of 3 to create triangle E'F'G'.

Question 52

The figure below shows triangle PQR on a coordinate plane. If the triangle is dilated by a scale factor of 2 with the origin as the center of dilation, what are the coordinates of vertex Q' of the dilated triangle P'Q'R'?

Accepted Answer

(16, 14)

Answer

(14, 16)

Answer

(9, 10)

Answer

(3.5, 4)

Question 53

Triangle STU is dilated to create triangle S'T'U' using the origin as the center of dilation. Which one of the following statements is true?

Accepted Answer

D) Triangle STU is dilated by a scale factor of 2 to create triangle S'T'U'

Answer

A) Triangle STU is dilated by a scale factor of 1/4 to create triangle S'T'U'

Answer

B) Triangle STU is dilated by a scale factor of 1/2 to create triangle S'T'U'

Answer

C) Triangle STU is dilated by a scale factor of 4 to create triangle S'T'U'

Question 54

The figure below shows square RSTU on a coordinate plane. If the square is dilated by a scale factor of 6 with the origin as the center of dilation, what are the coordinates of vertex 'U' of the dilated square R'S'T'U'?

Accepted Answer

(18, 18)

Answer

(2, 2)

Answer

(72, 18)

Answer

(2, 0.5)

Question 55

The figure below shows square RSTU on a coordinate plane. If the square is dilated using the rule (x, y) -> (3x, 2y) with the origin as the center of dilation, what are the coordinates of vertex 'S' of the dilated square R'S'T'U'?

Accepted Answer

(6, 8)

Answer

(6, 24)

Answer

(3/2, 6)

Answer

(3/2, 3)

Question 56

Square RSTU is dilated to create square R'S'T'U' using the origin as the center of dilation. Which one of the following statements is true?

Accepted Answer

Square RSTU is dilated by a scale factor of 2 to create square R'S'T'U'.

Answer

Square RSTU is dilated by a scale factor of 1/6 to create square R'S'T'U'.

Answer

Square RSTU is dilated by a scale factor of 5 to create square R'S'T'U'.

Answer

Square RSTU is dilated by a scale factor of 1/2 to create square R'S'T'U'.

Question 57

Rectangle ABCD is dilated using the origin as the center of dilation to create rectangle A'B'C'D'. What rule represents the dilation applied to rectangle ABCD to create rectangle A'B'C'D'?

Accepted Answer

(x, y) -> (3x, 4y)

Answer

(x, y) -> (4x, 6y)

Answer

(x, y) -> (3x, 3y)

Answer

(x, y) -> (4x, 3y)

Question 58

The figure below shows rectangle ABCD on a coordinate plane. If the rectangle is dilated using the rule (x, y) -> (x/2, y/2) with the origin as the center of dilation, what are the coordinates of vertex D' of the dilated rectangle A'B'C'D'?

Accepted Answer

(2, 1)

Answer

(1, 2)

Answer

(3, 5)

Answer

(5, 3)

Question 59

The figure below shows rectangle ABCD on a coordinate plane. If the rectangle is dilated by a scale factor of 2 with the origin as the center of dilation, what are the coordinates of vertex B' of the dilated rectangle A'B'C'D'?

Accepted Answer

(7.5, 7.5)

Answer

(5, 5)

Answer

(10, 10)

Answer

(30, 30)

Question 60

The figure below shows rectangle ABCD on a coordinate plane. If the rectangle is dilated using the rule (x, y) -> (x/4, y/4) with the origin as the center of dilation, what are the coordinates of vertex C' of the dilated rectangle A'B'C'D'?

Accepted Answer

(10/4, 15/4)

Answer

(4, 3)

Answer

(15/4, 10/4)

Answer

(3, 4)

Question 61

Rectangle ABCD is dilated to create square A'B'C'D' using the origin as the center of dilation. Which one of the following statements is true?

Accepted Answer

Rectangle ABCD is dilated by a scale factor of 1/2 to create rectangle A'B'C'D'.

Answer

Rectangle ABCD is dilated by a scale factor of 5 to create rectangle A'B'C'D'.

Answer

Rectangle ABCD is dilated by a scale factor of 1/4 to create rectangle A'B'C'D'.

Answer

Rectangle ABCD is dilated by a scale factor of 3 to create rectangle A'B'C'D'.

Question 62

The figure below shows trapezoid MNOP on a coordinate plane. If the trapezoid is dilated by a scale factor of 1/2 with the origin as the center of dilation, what are the coordinates of vertex O' of the dilated trapezoid M'N'O'P'?

Accepted Answer

(3, 5/2)

Answer

(5/2, 3)

Answer

(6, 6)

Answer

(3, 6)

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