wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Geometry Rigid Transformations Test Review

Total questions: 75

Worksheet time: 1hrs 15mins

Name
Class
Date
1.

Reflections over the x-axis change the __________.

a)

y-coordinate

b)

x-coordinate

2.

Reflections over the y-axis change the ___________.

a)

y-coordinate

b)

x-coordinate

c)

y-axis

d)

x-axis

3.
Triangle A is rotated 270° counterclockwise 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
4.

Triangle IJK has the coordinates listed.

I (5, -8) J (10, -8) K (7, -4)

Where is J' after a reflection over the y-axis?

a)

(10, 8)

b)

(-10,8)

c)

(-10, -8)

d)

(-8, -10)

5.

Which of the following is the algebraic representation for a translation 7 units left and 6 units up?

a)

(x + 7, y - 6)

b)

(x - 7, y + 6)

c)

(x + 6, y - 7)

d)

(x - 6, y + 7)

6.

Which is the algebraic representation for a rotation 180 degrees clockwise?

a)

(y, x)

b)

(-y, x)

c)

(y, -x)

d)

(-x, -y)

7.

Which transformation will always produce the same image as a rotation 90 degrees counterclockwise?

a)

A reflection over the y-axis

b)

A rotation 270 degrees clockwise

c)

A rotation 90 degrees clockwise

d)

A reflection over the x-axis

8.

Which is true about the transformation shown?

a)

The graph shows a translation, and the pre-image and the image are congruent.

b)

The graph shows a reflection, and the pre-image and the image are congruent.

c)

The graph shows a translation, and the pre-image and the image are similar (same shape, different size).

d)

The graph shows a reflection, and the pre-image and the image are similar (same shape, different size).

9.

Match the following TRANSLATIONS

a)

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

1.

left 3, up 4

b)

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

2.

left 3, down 4

c)

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

3.

right 3, down 4

d)

(x, y)-->(x+5, y+2)

4.

right 5, up 2

e)

(x, y)-->(x-5, y+2)

5.

left 5, up 2

10.

A reflection over the x-axis causes the ​ (a)   to stay the same and the ​ (b)   to switch.

The algebraic representation is ​ (c)  

Choose from the below words
x-value
y-value
(x, y)-->(x, -y)
(x, y)-->(-x, y)
11.

A reflection over the y-axis causes the ​ (a)   to stay the same and the ​ (b)   to switch.

The algebraic representation is ​ (c)  

Choose from the below words
y-value
x-value
(x, y)-->(-x, y)
(x, y)-->(x, -y)
12.

Match the following transformations:

a)

Reflection over x-axis

1.

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

b)

Reflection over y-axis

2.

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

c)

90°90\degree Clockwise rotation

3.

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

d)

90°90\degree Counter-Clockwise rotation

4.

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

e)

180°180\degree rotation

5.

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

13.

Which of the following does NOT preserve congruence?

a)

Dilations

b)

Translations

c)

Reflections

d)

Rotations

14.

Match the following

a)

Dilation

1.

(x, y)-->(2x, 2y)

b)

Translation

2.

(x, y)-->(x+2, y+2)

c)

Reflection over x-Axis

3.

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

d)

Reflection over y-Axis

4.

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

e)

180°180\degree Rotation

5.

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

15.
What would the new point be if you rotated the point (3,-5) 270° clockwise?
a)
a.  (-3,-5) 
b)
b.  (-5,-3) 
c)
c.  (5,3)
16.
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)
17.
Describe the transformation shown in the graph.
a)
Reflect over x-axis
b)
Reflect over y-axis
c)
Rotate 270 degrees CCW
d)
Rotate 90 degress CCW
18.
Find K' if the figure is reflected across the x-axis
a)
(4, 1))
b)
(-1, -4)
c)
(1, -4)
d)
(1, 4)
19.
Write a rule for the translation.
a)
 (x -1, y  + 2)
b)
 (x -2, y  + 1)
c)
 (x +2, y  - 1)
d)
(x +1, y  -  2)
20.
Identify the transformation.
a)
Reflection across y axis
b)
Reflection across x-axis
c)
180 Rotation
d)
Translation 2 units down
21.

Describe the transformation:

(x, y) -> (x-2, y+7)

a)

Translation 2 units to the left & 7 units up

b)

Translation 2 units to the left & 7 units down

c)

Translation 2 units to the right & 7 units up

d)

Translation 2 units to the right & 7 units down

22.
Which of the following describes the sequence of transformations shown?
a)
Reflect across the x-axis and then rotate -90 degrees around the origin
b)
Rotate -90 degrees around the origin and then translate down.
c)
Reflect across the x-axis and then reflect across the y-axis.
d)
Translate up and then rotate 90 degrees about the origin.
23.
Which answer shows a reflection across the y-axis?
a)
a
b)
b
c)
c
d)
d
24.
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)
25.
Reflect (6, -3) over the line x-axis.
a)
(6, 3)
b)
(-6, -3)
c)
(-3, 6)
d)
(3, -6)
26.
Reflect the point (2, -4) over the y-axis.
a)
(-4, 2)
b)
(-2, 4)
c)
(-2, -4)
d)
(2, 4)
27.
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)
28.
What is the sequence of transformations for the image given? 
a)
Reflect over the x-axis, translate (x+8,y)
b)
Reflect over the x-axis then translate (x+6, y)
c)
Reflect over the y-axis then (x+1, y+1)
d)
Translate down 4 (y-4) and to the right 5 (x+5)
29.
Point (-3,-3) is rotated 360 degrees clockwise about the origin.  Where is the new point located?
a)
(3,3)
b)
(-3,3)
c)
(3,-3)
d)
(-3,-3)
30.
If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?
a)
(-5, 5)
b)
(-3, 5)
c)
(-5, 3)
d)
(-3, 3)
31.
Identify the smallest angle of rotation that maps the image to itself.
a)
72°
b)
180°
c)
144°
d)
45°
32.
What is one of the angles of rotation needed to rotate this octagon onto itself?
a)
60
b)
135
c)
120
d)
240
33.
What are the angles of rotation for an octagon?
a)
multiples of 45
b)
multiples of 51.4
c)
multiples of 60
d)
multiples of 72
34.
What are the angles of rotation for a square?
a)
multiples of 30
b)
multiples of 45
c)
multiples of 90
d)
multiples of 180
35.
Identify the angles of rotation that maps the image to itself.
a)
multiples of 120°
b)
multiples of 180°
c)
multiples of 90°
d)
multiples of 60°
36.
Identify the angles of rotation that maps the image to itself.
a)
multiples of 72°
b)
multiples of 180°
c)
multiples of 144°
d)
multiples of 45°
37.

Which number of degrees below describes an angle that can rotate this regular polygon back onto itself?

a)

60

b)

160

c)

225

d)

270

38.

Which number of degrees below describes an angle that can rotate this regular polygon back onto itself?

a)

216

b)

270

c)

300

d)

320

39.

Which number of degrees below describes an angle that can rotate this regular polygon back onto itself?

a)

60

b)

160

c)

144

d)

45

40.

If a point (3, 4) is translated 5 units right and 2 units down, what are the coordinates of the new point?

a)

(8, 2)

b)

(8, 6)

c)

(2, 6)

d)

(2, 2)

41.

A triangle with vertices at (1, 2), (4, 2), and (1, 5) is rotated 90 degrees counterclockwise about the origin. What are the coordinates of the new vertices?

a)

(-2, 1), (-2, 4), (-5, 1)

b)

(2, -1), (2, -4), (5, -1)

c)

(-2, -1), (-2, -4), (-5, -1)

d)

(2, 1), (2, 4), (5, 1)

42.

What is the result of reflecting the point (5, -3) across the y-axis?

a)

(-5, 3)

b)

(5, 3)

c)

(-5, -3)

d)

(5, -3)

43.

Which of the following is a characteristic of a rigid transformation?

a)

Changes the size of the shape

b)

Alters the angles within the shape

c)

Moves the shape without changing its size or shape

d)

Changes the orientation of the shape

44.

A rectangle is reflected over the line y = x. If one of the original vertices of the rectangle is at (3, 7), where is the corresponding vertex after the reflection?

a)

(7, 3)

b)

(3, -7)

c)

(-7, -3)

d)

(-3, -7)

45.

If a figure undergoes a rotation of 180 degrees about the origin, which of the following statements is true about the coordinates of any point (x, y) on the figure?

a)

The coordinates become (-x, y)

b)

The coordinates become (x, -y)

c)

The coordinates become (-x, -y)

d)

The coordinates remain (x, y)

46.

What is the image of the point (2, -4) after a translation of 3 units to the left and 6 units up?

a)

(-1, 2)

b)

(5, 2)

c)

(5, -10)

d)

(-1, -10)

47.

A figure is rotated 90 degrees clockwise about the point (1, 1). If a point on the figure is at (2, 3) before the rotation, what is its position after the rotation?

a)

(3, 0)

b)

(0, 2)

c)

(-1, 3)

d)

(3, 2)

48.

Which of the following transformations would map the point (x, y) onto the point (y, -x)?

a)

Reflection over the x-axis followed by a translation

b)

Rotation of 90 degrees counterclockwise about the origin

c)

Reflection over the line y = x

d)

Rotation of 90 degrees clockwise about the origin

49.

What is the result of reflecting the point (7, -2) across the x-axis?

a)

(7, 2)

b)

(-7, -2)

c)

(-7, 2)

d)

(7, -2)

50.

If a point (6, 8) is translated 4 units left and 3 units up, what are the coordinates of the new point?

a)

(2, 11)

b)

(10, 11)

c)

(2, 5)

d)

(10, 5)

51.

If a point (4, 7) is reflected over the x-axis, what are the coordinates of the new point?

a)

(4, -7)

b)

(-4, 7)

c)

(-4, -7)

d)

(7, 4)

52.

What is the result of rotating the point (2, 3) 180 degrees around the origin?

a)

(-2, -3)

b)

(2, -3)

c)

(-2, 3)

d)

(3, 2)

53.

Which transformation is represented by the function (x, y) --> (x - 5, y + 2)?

a)

Translation 5 units left and 2 units up

b)

Translation 5 units right and 2 units down

c)

Translation 5 units left and 2 units down

d)

Translation 5 units right and 2 units up

54.

If a point (3, -6) is rotated 90 degrees clockwise about the origin, what are the coordinates of the new point?

a)

(6, 3)

b)

(-6, 3)

c)

(6, -3)

d)

(-6, -3)

55.

What is the image of the point (5, 3) after a translation of 2 units to the right and 4 units down?

a)

(7, -1)

b)

(3, 7)

c)

(7, 1)

d)

(3, -1)

56.

Which transformation is represented by the function (x, y) --> (x + 3, y - 5)?

a)

Translation 3 units right and 5 units up

b)

Translation 3 units left and 5 units down

c)

Translation 3 units right and 5 units down

d)

Translation 3 units left and 5 units up

57.

What is the result of rotating the point (4, -6) 90 degrees counterclockwise around the origin?

a)

(6, 4)

b)

(-6, 4)

c)

(-4, 6)

d)

(6, -4)

58.

After reflecting the point (3, 5) over the x-axis, what are the new coordinates?

a)

(3, -5)

b)

(-3, 5)

c)

(-3, -5)

d)

(5, 3)

59.

If a hexagon undergoes a rotation of 60 degrees about its center, which statement is true regarding its vertices?

a)

Each vertex maps onto another vertex of the hexagon.

b)

Each vertex moves to a position outside the original hexagon.

c)

Only alternate vertices map onto each other.

d)

No vertices align with vertices of the original hexagon.

60.

If a point (6, -3) is reflected over the x-axis, what are the coordinates of the new point?

a)

(6, 3)

b)

(-6, -3)

c)

(-6, 3)

d)

(6, -3)

61.

What is the result of rotating the point (4, 5) 180 degrees about the origin?

a)

(-4, -5)

b)

(4, -5)

c)

(-4, 5)

d)

(5, -4)

62.

Which transformation maps the point (x, y) onto the point (-y, x)?

a)

Rotation of 90 degrees counterclockwise about the origin

b)

Reflection over the y-axis followed by a translation

c)

Reflection over the line y = x

d)

Rotation of 270 degrees clockwise about the origin

63.

If a hexagon is rotated 120 degrees clockwise about its center, what is the minimum angle of rotation needed to map the hexagon onto itself?

a)

60 degrees

b)

120 degrees

c)

180 degrees

d)

360 degrees

64.

What is the result of reflecting the point (3, -5) across the y-axis?

a)

(-3, 5)

b)

(3, 5)

c)

(-3, -5)

d)

(3, -5)

65.

Which transformation is represented by the function (x, y) --> (x + 3, y - 4)?

a)

Translation 3 units right and 4 units up

b)

Translation 3 units left and 4 units down

c)

Translation 3 units right and 4 units down

d)

Translation 3 units left and 4 units up

66.

Plot (4, 6) then plot its REFLECTION over the y-axis

67.

Match the following

a)

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

1.

translate

left 2, up 3

b)

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

2.

translate

right 2, down 3

c)

(x,y)→(−x,y)\left(x,y\right)\rightarrow\left(-x,y\right)  

3.

reflect y-axis

d)

(x,y)→(x,−y)\left(x,y\right)\rightarrow\left(x,-y\right)  

4.

reflect x-axis

68.

Plot A' after a translating Point A (2, 6) using the rule:

(x, y) ---> (x - 3, y + 2).

69.

Translate the point 5 units right and 9 units down.​ (a)   ​ ​ ​ ​ ​

Choose from the below words
(x,y) --> (x+5) (y-9)
(x,y)--> (y-5) (x+9)
(x,y) -->(x-5) (y+9)
(x,y) --> (y-9) (x+5)
70.

If a point (6, -2) is reflected over the y-axis, what are the coordinates of the new point?

a)

(-6, 2)

b)

(6, 2)

c)

(-6, -2)

d)

(6, -2)

71.

What is the result of rotating the point (3, -5) 90 degrees clockwise around the origin?

a)

(5, 3)

b)

(-5, -3)

c)

(-5, 3)

d)

(5, -3)

72.

Which transformation is represented by the function (x, y) --> (x + 4, y - 6)?

a)

Translation 4 units right and 6 units up

b)

Translation 4 units left and 6 units down

c)

Translation 4 units right and 6 units down

d)

Translation 4 units left and 6 units up

73.

What is the result of rotating the point (3, -5) by 270 degrees clockwise about the origin?

a)

(5, 3)

b)

(-5, -3)

c)

(-3, 5)

d)

(5, -3)

74.

Which transformation will map the point (-2, 4) onto the point (2, -4)?

a)

Rotation of 180 degrees about the origin

b)

Reflection over the y-axis

c)

Translation 4 units right and 8 units down

d)

Reflection over the x-axis

75.

After a point (x, y) is reflected over the line y = -x, what are the new coordinates?

a)

(y, x)

b)

(-y, -x)

c)

(-x, -y)

d)

(x, y)

Similar Resources on Wayground

Right Triangle Trig, Exact Value, Convert Radian and Degree

75 questions

Right Triangle Trig, Exact Value, Convert Radian and Degree

quiz

Worksheet

•

9th - 11th Grade

Algebra IA: Review Capstone #1

70 questions

Algebra IA: Review Capstone #1

quiz

Worksheet

•

7th - 9th Grade

Spring Final Review

71 questions

Spring Final Review

quiz

Worksheet

•

9th - 12th Grade

2024 Unit 1 Review

71 questions

2024 Unit 1 Review

quiz

Worksheet

•

9th - 12th Grade

5/30/22 Math 1 Final Study Guide

76 questions

5/30/22 Math 1 Final Study Guide

quiz

Worksheet

•

9th - 10th Grade

Áreas e prismas

74 questions

Áreas e prismas

quiz

Worksheet

•

11th Grade

5/25/23 Study Guide Final Math 3

80 questions

5/25/23 Study Guide Final Math 3

quiz

Worksheet

•

11th Grade

Chapter 1 Vocabulary - Discovering Geometry

75 questions

Chapter 1 Vocabulary - Discovering Geometry

quiz

Worksheet

•

10th Grade