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Unit 4 Transformations Test Review

Total questions: 10

Worksheet time: 26mins

Name
Class
Date
1.

What transformation of Figure 1 results in Figure 2?

a)

Rotation

b)

Reflection

c)

Translation

d)

Dilation

2.

Triangle ABC is congruent to triangle DEF.

Which statement must be true about the triangles?

a)

m∠C=m∠F

b)

m∠F=m∠B

c)

CB=DE

d)

AC=DE

3.

What series of transformations from △ABC to ​ △DEF ​ shows that △ABC≅△DEF ?

a)

a reflection across the y-axis followed by a translation of 1 unit right and 2 units up

b)

a clockwise rotation of 90° about the origin followed by a translation of 4 units right and 4 units up

c)

a reflection across the x-axis followed by a translation of 1 unit right and 1 unit down

d)

a reflection across the line y = x followed by a positive rotation of 270° about the center

4.

Which transformation of Figure A results in Figure A′?

a)

a reflection across the y-axis

b)

a reflection across the x-axis

c)

a clockwise rotation of 90° about the origin

d)

a translation 12 units right and 2 units down.

5.

The coordinates of point A are (6, 2).

The coordinates of point B are (2, 6).

Line AB is transformed to form ​Line A′B′​, shown in the graph.

What is the transformation of line ​AB

​  that results in line ​A′B′​?

a)

AB 2 is translated units right and 1 unit up

b)

AB 2 is reflected across the y-axis

c)

AB 2 is reflected across the x-axis

d)

AB is dilated by a factor of 3

6.

What are the lengths of P'Q', A'B', and M'N' respectively?

a)

0.75 cm, 1 cm, 1.5 cm

b)

4 cm, 3 cm, 6 cm

c)

3cm, 4 cm, 1 cm

d)

0.75 cm, 1 cm, 4 cm

7.

What is the measure of M'N'?

a)

8 cm

b)

6 cm

c)

0.75 cm

d)

12 cm

8.

△ABC has interior angles with measures x°, 90°, and 65°, and  △DEF

has interior angles with measures y°, 65°, and 20°.

Using the given information, which statement is true?

a)

The triangles are similar because they each have an interior angle with measure 65°.

b)

The two triangles are not similar because the interior angles are congruent but the side lengths are different.

c)

The two triangles are not similar because x≠20 and there cannot be three congruent interior angels.

d)

The two triangles are similar because y = 90.

9.

Point P(−3, −4)

is rotated 90° counterclockwise about the origin.

What are the coordinates of its image after this transformation?

a)

(4, -3)

b)

(4, 3)

c)

(3, 4)

d)

(3, -4)

10.

A translation is applied to the square formed by the points A(−3, −4) , B(−3, 5) , C(6, 5) , and D(6, −4) .The image is the square that has vertices ​ A′(−3, −6) ​, ​ B′(−3, 3), ​C′(6, 3) and D′(6, −6) .

Describe the translation.

a)

The square was translated 4 units up.

b)

The square was translated 2 units down.

c)

The square was translated 8 units down.