Free Printable Transformations Review

1.

If the scale factor is greater than 1, the dilation is...

a)

an enlargement

b)

a rotation

c)

a translation

d)

a reduction

2.

If the scale factor is less than 1, the dilation is...

a)

an enlargement

b)

a translation

c)

a rotation

d)

a reduction

3.

Enlargement or reduction? Find the scale factor!

a)

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

b)

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

c)

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

d)

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

4.

Rectangle ABCD is dilated so that A' is located at (3, 6). What could be the dilation rule?

a)

$\left(x,y\right)\rightarrow\left(2x,3y\right)$

b)

$\left(x,y\right)\rightarrow\left(\frac{2}{3}x,\ \frac{2}{3}y\right)$

c)

$\left(x,y\right)\rightarrow\left(1.5x,\ 1.5y\right)$

d)

$\left(x,y\right)\rightarrow\left(x+2,y+3\right)$

5.

Triangle ABC will be dilated using the rule (x, y)→(2x, 2y). What will be the coordinates of C'?

a)

C' (12, -3)

b)

C' (12, -6)

c)

C' (3, -1.5)

d)

C' (8, -5)

6.

Enlargement or reduction? Find the scale factor!

a)

It's an enlargement; the scale factor is 3.

b)

It's a reduction; the scale factor is 1/3.

c)

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

d)

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

7.

In a dilation what mathematical operation is used with the scale factor?

a)

addition

b)

subtraction

c)

multiplication

d)

division

8.

The __________ is the ratio of a length of the new figure to the corresponding length on the original figure.

a)

reduction

b)

enlargement

c)

scale factor

d)

center of dilation

9.

What scale factor was used to produce the image?

a)

k = 2

b)

k = 3

c)

k = 1/3

d)

k = 1/2

10.

Find the measure of x:

a)

6

b)

24

c)

33

d)

36

11.

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)

B' (2, 4.5)

b)

B' (-8, -18)

c)

B' (8, 18)

d)

B' (9, 4)

12.

A figure undergoes two transformations: a horizontal reflection followed by a vertical reflection. What is the result of these transformations?

a)

b)

c)

d)

13.

After a translation 3 units to the left and a dilation by a scale factor of 6, which statement is true?

a)

The new parallelogram is not congruent because dilations do not preserve the length of sides.

b)

The new parallelogram is congruent because dilations preserve the length of sides.

c)

The new parallelogram is not congruent because translations preserve the length of sides.

d)

The new parallelogram is congruent because translations preserve the length of sides.

14.

Which transformation of a shape will result in a shape that is not congruent to the original shape?

a)

Dilation

b)

Reflection

c)

Rotation

d)

Translation

15.

If a shape is rotated 180° about the origin and then dilated by a scale factor of 2, will the image be congruent to the pre-image? Why?

a)

No, the rotation will not change the size/shape but the dilation will.

b)

No, the dilation will not change the size/shape but the rotation will.

c)

Yes, rotations and dilations will always change the size/shape of the pre-image.

d)

Yes, neither the rotation nor the dilation will change the size/shape of the pre-image.

16.

If the line segment is translated 2 units left and 4 units down, what will be the length of the resulting line segment?

a)

5 units

b)

9 units

c)

11 units

d)

17 units

17.

Which triangle shows the effect of translating Triangle 5 but no other transformation?

a)

Triangle 1

b)

Triangle 2

c)

Triangle 3

d)

Triangle 4

18.

Which transformation does not preserve the lengths of the sides of a shape?

a)

$\left(x,y\right)\rightarrow\left(3x,3y\right)$

b)

$\left(x,y\right)\rightarrow\left(x+7,y-2\right)$

c)

$\left(x,y\right)\rightarrow\left(-x,-y\right)$

d)

$\left(x,y\right)\rightarrow\left(x,y+5\right)$

19.

What are the coordinates of B (-5,6) after undergoing this transformation:

$\left(x,y\right)\rightarrow\left(x-4,3y\right)$ ?

a)

B' (-9, 18)

b)

B' (-1, 18)

c)

B' (-9, 2)

d)

B' (-1, 2)

20.

What is the arrow notation of a figure is translated 8 units left and 2 units up?

a)

$\left(x,y\right)\rightarrow\left(x-8,\ y+2\right)$

b)

$\left(x,y\right)\rightarrow\left(x+8,\ y-2\right)$

c)

$\left(x,y\right)\rightarrow\left(x-8,\ y-2\right)$

d)

$\left(x,y\right)\rightarrow\left(8x,\ 2y\right)$

21.

Dashed = pre-image

Solid = image

Describe this transformation.

a)

$\left(x,y\right)\rightarrow\left(x-4,\ y-7\right)$

b)

$\left(x,y\right)\rightarrow\left(x-7,\ y-4\right)$

c)

$\left(x,y\right)\rightarrow\left(x+7,\ y+4\right)$

d)

$\left(x,\ y\right)\rightarrow\left(4x,\ 7y\right)$

22.

Determine how to translate triangle from A'B'C' to triangle ABC.

a)

$\left(x,\ y\right)\rightarrow\left(x+2,\ y-5\right)$

b)

$\left(x,y\right)\rightarrow\left(x+2,\ y-9\right)$

c)

$\left(x,y\right)\rightarrow\left(x-2,\ y-9\right)$

d)

$\left(x,y\right)\rightarrow\left(x-2,\ y+9\right)$

23.

Write a rule for the translation.

a)

$\left(x,y\right)\rightarrow\left(x-1,\ y+2\right)$

b)

$\left(x,y\right)\rightarrow\left(x+2,\ y-1\right)$

c)

$\left(x,y\right)\rightarrow\left(x-2,\ y+1\right)$

d)

$\left(x,y\right)\rightarrow\left(x+1,\ y-2\right)$

24.

What transformation is happening here?

$\left(x,y\right)\rightarrow\left(x+2,\ y-3\right)$

a)

Translation 2 units up and 3 units left

b)

Dilation by a scale factor of 2/3

c)

Translation 2 units right and 3 units down

d)

Reflection over the line $x=2$

25.

$\Delta ABC$ has vertices at
A (6,1) B (1,7) and C (-3, -2). After the translation $\left(x,y\right)\rightarrow\left(x-1,\ y+2\right)$ , what will be the coordinates of $\Delta A'B'C'$ ?

a)

A' (5, 2) B' (0, -4) C' (0, 9)

b)

A' (5, 3) B' (0, -4) C' (0, 8)

c)

A' (5, 3) B' (0, 9) C' (-4, 0)

d)

A' (5, 2) B' (1, -3) C' (0, 9)

26.

What does a translation do to an image?

a)

Turns it 90* clockwise

b)

Mirrors it

c)

Shrinks it

d)

Slides it

27.

Calculate K' if K (1, -4) is reflected

across the line y = -2.

a)

K' (1, 4)

b)

K' (-1, -5)

c)

K' (1, -4)

d)

K' (1, 0)

28.

Reflect the point (2, -4) over

the line y = x.

a)

(-4, 2)

b)

(4, -2)

c)

(-2, -4)

d)

(2, 4)

29.

The point (-2, 5) is reflected over the line x = 1. Find its image.

a)

( 4, 5)

b)

( -2 , -5)

c)

( 3 , 5)

d)

(2 , -5)

30.

Triangle ABC has vertices A (5,2). Find the coordinates of ABC after a reflection over the x-axis.

a)

A’ (5, -2)

b)

A’ (-5, -2)

c)

A’ (-5, -2)

d)

A' (5, 2)

31.

Which rule describes rotating 180° clockwise?

a)

( x, y ) → ( y, -x )

b)

( x, y ) → ( -x, -y )

c)

( x, y) → ( x, y )

d)

( x, y ) → ( -y, x )

32.

What is the image of F (-2, 7) after a rotation of 180° clockwise?

a)

F' (-2, -7)

b)

F' (7, -2)

c)

F' (2, -7)

d)

F' (2, 7)

33.

Describe the given rotation.

Select ALL that apply.

a)

90° counterclockwise

b)

180° clockwise

c)

90° clockwise

d)

270° clockwise

e)

270° counterclockwise

34.

Which rule describes rotating 270° clockwise?

a)

( x, y ) → ( y, -x )

b)

( x, y ) → ( -x, -y )

c)

( x, y) → ( x, y )

d)

( x, y ) → ( -y, x )

35.

Which rule describes rotating 90° clockwise?

a)

( x, y ) → ( y, -x )

b)

( x, y ) → ( -x, -y )

c)

( x, y) → ( x, y )

d)

( x, y ) → ( -y, x )

36.

What is the image of S (2, -5) after a rotation of 90° clockwise about the origin?

a)

S' (-5, -2)

b)

S' (5, -2)

c)

S' (-2, 5)

d)

S' (5, 2)

37.

Rotate K (7, 8) around the origin 90° counterclockwise. State the image of K'.

a)

K' (-7, -8)

b)

K' (8, -7)

c)

K' (-8, 7)

d)

K' (8, 7)

38.

What is another word for rotation?

a)

Turn

b)

Flip

c)

Slide

d)

Shrink

39.

What is the image of M (4, -8) after a rotation 270° clockwise?

a)

M' (-8, 4)

b)

M' (8, 4)

c)

M' (-4, -8)

d)

M' (-8, -4)

40.

What is the image of W (-5, -3) after a rotation 270° counterclockwise?

a)

W' (-3, 5)

b)

W' (-3, -5)

c)

W' (-5, 3)

d)

W' (5, -3)

Transformations Review

Total questions: 40

Worksheet time: 3hrs 40mins

Similar Resources on Wayground