Free Printable Unit 3 Test Review

1.

Reflect the point (2, -4) over the y-axis.

a)

(-4, 2)

b)

(-2, 4)

c)

(-2, -4)

d)

(2, 4)

2.

What transformation is happening?

T_{(x + 2, y - 3)}

a)

translate up 2, left 3

b)

translate right 2, up 3

c)

translate right 2, down 3

d)

translate left 3, right 2

3.

Reflect (6, -3) over the line x-axis.

a)

(6, 3)

b)

(-6, -3)

c)

(-3, 6)

d)

(3, -6)

4.

Rotate the point (7,8) around the origin 90 counter clockwise degrees. State the image of the point.

a)

(-7,-8)

b)

(8,-7)

c)

(-8,7)

d)

(8,7)

5.

If you were to rotate ABCD 180° about the origin, what would the coordinate of A' be?

a)

(-5, 5)

b)

(-3, -5)

c)

(-5, 3)

d)

(-3, 3)

6.

How many degrees COUNTERCLOCKWISE was quadrilateral ABCD rotated?

a)

90°

b)

180°

c)

270°

d)

360°

7.

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

a)

(x-2, y+5)

b)

(x+2, y-9)

c)

(x-2, y+9)

d)

(x-9, y+2)

8.

Where would point J' be if you translated point J 5 units to the left and 2 units up?

a)

(5, 3)

b)

(3, -5)

c)

(-5, 3)

d)

(-3, 5)

9.

Which answer shows a reflection across the y-axis?

a)

a

b)

b

c)

c

d)

d

10.

Reflect the point (2, -4) over y = x.

a)

(-4, 2)

b)

(-2, 4)

c)

(-2, -4)

d)

(2, 4)

11.

Reflect the point D (-9, -12) over the line y = -x.

a)

(12, 9)

b)

(-12, -9)

c)

(-12, 9)

d)

(12, -9)

12.

Find the image of F after it has been translated by the vector <5, 1>.

a)

F'( 1, 3)

b)

F' (2, 4)

c)

F' (2, -1)

d)

F' (0, -1)

13.

Find the coordinates of E' after a rotation 90^o clockwise.

a)

E' (3, -2)

b)

E' (2, 3)

c)

E' (3, 2)

d)

E' (-3, -2)

14.

Triangle DEF is reflected over the line $x=-2$ . What are the coordinates of D'?

(a)

15.

Triangle ABC is rotated $90\degree$ counterclockwise around the origin. What are the coordinates of B'?

(a)

16.

If point $H(-6,2)$ is translated 4 units up and 3 units right, what are the coordinates of the translated image?

a)

$\left(3,4\right)$

b)

$(-2,5)$

c)

$\left(-3,6\right)$

d)

$\left(10,5\right)$

17.

Point $\text{A(-2,5)}$ is reflected across the line y=x+2. Find A'.

(a)

18.

Determine the rule on how to translate triangle ABC to its image A'B'C'.

a)

$\text{(x+5, y-3)}$

b)

$\text{(x+3, y-5)}$

c)

$\text{(x-3, y+5)}$

d)

$\text{(x-5, y+3)}$

19.

Triangle ABC is reflected across the line y=0. Where is A'?

(a)

20.

Which option does NOT accurately describe the transformation from triangle ABC to A'B'C'.

a)

$\text{270}\degree$ counterclockwise rotation around the origin

b)

$\text{90}\degree$ clockwise rotation around the origin

c)

$\text{90}\degree$ rightward rotation around the origin

d)

$\text{90}\degree$ counterclockwise rotation around the origin

21.

Point B is located at $\text{(-4,3)}$ . After a reflection, B' is located at $\text{(0,5)}$ . Find the equation of the line of reflection.

a)

$\text{y=-2x}$

b)

$\text{y=}\frac{1}{2}\text{x}+5$

c)

$\text{y=4}$

d)

$\text{x=-2}$

22.

Which vector represents the translation from triangle ABC to A'B'C'?

a)

<4, 2>

b)

<-5, 3>

c)

<5, -3>

d)

<-3, 5>

23.

Identify the transformation from ABC to A'B'C'.

a)

90^o clockwise rotation

b)

90^o counter clockwise rotation

c)

Reflection across the y-axis

d)

Reflection across the x-axis

24.

Identify the transformation from ABCD to A'B'C'D'.

a)

Translation

b)

Reflection across the y-axis

c)

Reflection across the x-axis

d)

90^o counter clockwise Rotation

25.

Point (-5,2) is reflected over the y axis. Where is the new point located?

a)

(5,2)

b)

(-5,-2)

c)

(-5,2)

d)

(5,-2)

26.

Point (7,2) is translated vertically 2 units and horizontally -5 units. Where is the new point located?

a)

(9,-3)

b)

(2,4)

c)

(2,0)

d)

12,4)

27.

How many degrees was the figure rotated?

a)

90 degrees counterclockwise

b)

180 degrees clockwise

c)

90 degrees clockwise

d)

270 degrees counterclockwise

28.

Reflect Point C over the y-axis:

a)

(-3, 2)

b)

(3,2)

c)

(-2,3)

d)

(3,0)

29.

Which letter does not have symmetry?
G H O E

a)

G

b)

H

c)

O

d)

E

30.

How many lines of symmetry does this shape have?

a)

0

b)

1

c)

2

d)

4

31.

Describe the translation of Point A (3, -8) to A'(-4, -5).

a)

(x - 4, y - 5)

b)

(x + 7, y - 3)

c)

(x - 7, y + 3)

d)

(x - 3, y + 7)

32.

If you were to rotate ABCD 180° about the origin, what would the coordinate of A' be?

a)

(-5, 5)

b)

(-3, -5)

c)

(-5, 3)

d)

(-3, 3)

33.

Identify the transformation from A to D.

a)

90^o Clockwise Rotation

b)

180^o Rotation

c)

270^o Clockwise Rotation

d)

360^o Rotation

34.

∆QRS contains the points: Q(4, 2) R(5, 1) S(3,7). If the triangle is reflected across the y-axis, what will S' be?

a)

S'(3, 7)

b)

S'(-3, 7)

c)

S'(-3, -7)

d)

S'(3, 7)

35.

What transformation is happening?
(x, y) ----> (x + 2, y - 3)

a)

slide up 2, left 3

b)

slide right 2, up 3

c)

slide right 2, down 3

d)

slide left 3, right 2

36.

Given the point A at (-6, -2), where would the image be after the translation T_{(-4, 2)}?

a)

(-2, 4)

b)

(-10, 0)

c)

(2, 0)

d)

(-8, -4)

37.

Given the point Y at (5, 2), where would the image be after the following translation: (x + 2, y - 7)?

a)

(7, 7)

b)

(3, 9)

c)

(4, -5)

d)

(7, -5)

38.

The image of the point (2, -7) reflected over the what line would be (-7, 2).

a)

x - axis

b)

y - axis

c)

y = x

d)

x = 1

39.

The image of the point (-5, 3) reflected over the y-axis would be:

a)

(-5, -3)

b)

(5, 3)

c)

(5, -3)

d)

(3, -5)

40.

Determine if the figure has line, point, or rotational symmetry.

a)

Line

b)

Point

c)

Rotational

d)

None

41.

Determine if the figure has line, point, or rotational symmetry.

a)

Line

b)

Point

c)

Rotational

d)

None

42.

Determine if the figure has line, point, or rotational symmetry.

a)

Line

b)

Point

c)

Rotational

d)

None

43.

How do you represent a translation Algebraically?

a)

(-y, -x)

b)

(x + a, y + b)

c)

(-x , -y)

d)

(ax, by)

44.

What transformation is happening?
(x, y) ----> (x + 2, y - 3)

a)

slide up 2, left 3

b)

slide right 2, up 3

c)

slide right 2, down 3

d)

slide left 3, right 2

45.

What is the algebraic notation of a figure is Translated 9 units right and 3 units down?

a)

(x, y) --> (x - 9, y + 3)

b)

(x, y) --> (x + 9, y - 3)

c)

(x, y) --> (x + 3, y - 9)

d)

(x, y) --> (9x, 3y)

46.

What is the algebraic notation of a figure is Translated 6 units right and 5 units up?

a)

(x, y) --> (x - 6, y + 5)

b)

(x, y) --> (x + 6, y + 5)

c)

(x, y) --> (x + 5, y - 6)

d)

(x, y) --> (6x, 5y)

47.

Determine where X' would be if you translated 3 units to the left and 9 units down.

a)

(-4, 4)

b)

(-10, 2)

c)

(-4, -5)

d)

(-1, 5)

48.

Write a rule for the translation.

a)

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

b)

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

c)

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

d)

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

49.

Translation are always _______

a)

Congruent

b)

Bigger

c)

Smaller

d)

Rotated

50.

Point M (-3, 5) is translated using this rule.
(x, y) ----> (x - 1, y)
What are the coordinates of M'?

a)

(-4, 5)

b)

(-2, 5)

c)

(-4, 4)

d)

None of these

51.

Which answer shows a reflection across the x-axis?

a)

a

b)

b

c)

c

d)

d

52.

Which answer shows a reflection across the y-axis?

a)

a

b)

c

c)

d

d)

b

53.

Triangle GHI is reflected across the x-axis. What are the coordinates of I'?

a)

(-2, 6)

b)

(2, 6)

c)

(-6, -2)

d)

(6, 2)

54.

What is the rule for the following reflection?

a)

Reflection across y = 3

b)

Reflection across x = −3

c)

Reflection across x = 3

d)

Reflection across y = −3

55.

What is the rule for the following reflection?

a)

Reflection across y = −1

b)

Reflection across y = 1

c)

Reflection across x = −1

d)

Reflection across x = 1

56.

Is this a reflection over the X-axis or Y-axis

a)

X axis

b)

Y axis

57.

Is the reflection shown a reflection over the x or y axis?

a)

X axis

b)

Y axis

58.

Reflect the point (2, -4) over the y-axis.

a)

(-4, 2)

b)

(-2, 4)

c)

(-2, -4)

d)

(2, 4)

59.

Point B(-2, 4) reflected over the y-axis?

a)

(2, 4)

b)

(2, -4)

c)

(-2, -4)

d)

(-2, 4)

60.

Point B(-2, 4) reflected over the line y = x?

a)

(4, -2)

b)

(-4, -2)

c)

(2, -4)

d)

(-2, 4)

61.

How many degrees was the figure rotated?

a)

90 degrees counterclockwise

b)

180 degrees

c)

90 degrees clockwise

62.

Triangle C is rotated 180° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

a)

A

b)

B

c)

C

d)

D

63.

Identify the transformation from A to D.

a)

90^o Clockwise Rotation

b)

180^o Rotation

c)

270^o clockwise Rotation

d)

360^o Rotation

64.

If you were to rotate ABCD 180° about the origin, what would the coordinate of A' be?

a)

(-5, 5)

b)

(-3, -5)

c)

(-5, 3)

d)

(-3, 3)

65.

Rotate the point (7,8) around the origin 90 degrees counter clockwise. State the image of the point.

a)

(-7,-8)

b)

(8,-7)

c)

(-8,7)

d)

(8,7)

66.

The point A (8, 12) was dilated to become point A' (2, 3). What was the scale factor?

a)

½

b)

¼

c)

4

d)

2

67.

A dilation is which of the following:

a)

only an enlargement

b)

only a reduction

c)

Either an enlargement or a reduction

d)

Neither an enlargement or a reduction

68.

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 of 2.

a)

B' (2 , 4.5)

b)

B' (-8 ,-18)

c)

B' (8 ,18)

d)

B' (9 ,4)

69.

When A(3, 6) is under a dilation of 2 what are the coordinates of A'?

a)

(3, 6)

b)

(1.5, 3)

c)

(6, 12)

d)

(12, 6)

70.

Dilate the figure by a scale factor of 3. What are the coordinates of the image?

A(3,3) B(6,6) C(9,3)

a)

A'(9,9) B'(18,18) C'(27,9)

b)

A'(6,6) B'(9,9) C'(12,6)

c)

A'(0,0) B'(3,3) C'(6,0)

d)

A'(1,1) B'(2,2) C'(3,1)

71.

What scale factor was used to produce the image?

a)

2

b)

-2

c)

¹/₂

d)

1

72.

Dilate Point B by a scale factor of 1/2

a)

(1.5,-4)

b)

(-1.5,1)

c)

(-1,-1.5)

d)

(-2,-2)

73.

When a dilation has a scale factor greater than one, the dilation is an enlargement.

a)

True

b)

False

74.

The original figure prior to a transformation.

a)

Pre-image

b)

Image

75.

Which transformation is NOT a rigid motion (the size changes)?

a)

reflection

b)

rotation

c)

dilation

d)

translation

76.

A rigid motion ...

a)

preserves size and location

b)

preserves shape and location

c)

preserves size and shape

d)

makes the figure larger

77.

A rigid motion creates figures that are ____________.

a)

congruent

b)

different sizes

c)

similar

d)

larger

Unit 3 Test Review

Total questions: 77

Worksheet time: 3hrs 20mins

Similar Resources on Wayground