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Transformations and Symmetry Review

Total questions: 110

Worksheet time: 2hrs 59mins

Name
Class
Date
1.
How many lines of symmetry does this shape have?
a)
1
b)
2
c)
4
d)
6
2.
How many lines of symmetry does this shape have?
a)
1
b)
2
c)
3
d)
4
3.
How many lines of symmetry does this shape have?
a)
1
b)
2
c)
3
d)
4
4.
How many lines of symmetry does this shape have?
a)
2
b)
4
c)
6
d)
8
5.

2. How many lines of symmetry does the picture have?

a)

1

b)

2

c)

4

d)

0

6.

8. Determine the number of lines of symmetry for the figure.

a)

0

b)

1

c)

3

d)

6

7.
How many lines of symmetry does this shape have?
a)
1
b)
2
c)
3
d)
4
8.
How many lines of Symmetry does this hexagon have?
a)
3
b)
6
c)
9
d)
12
9.
How many lines of symmetry does this square have?
a)
1
b)
3
c)
4
d)
8
10.

Determine whether the figure has line symmetry, rotational symmetry, both, or neither.

a)

Rotational

b)

Reflectional

c)

Both

d)

Neither

11.

What angle of rotation does the picture have?

a)

360⁰

b)

60⁰

c)

180⁰

d)

120⁰

12.
What is the angle of rotational symmetry?
a)
360°
b)
180°
c)
120°
d)
90°
13.

What angle of rotation does the picture have?

a)

360⁰

b)

180⁰

c)

120⁰

d)

72⁰

14.

What angle of rotation does the picture have?

a)

60⁰

b)

360⁰

c)

180⁰

d)

120⁰

15.

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

a)

60

b)

90

c)

180

d)

120

16.

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

a)

180

b)

90

c)

45

d)

120

17.
Identify the smallest angle of rotation that maps the image to itself.
a)
72°
b)
180°
c)
144°
d)
45°
18.

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

a)

40

b)

60

c)

72

d)

90

19.

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

a)

60

b)

45

c)

75

d)

90

20.

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

a)

60

b)

180

c)

120

d)

45

21.
Identify the smallest angle of rotation that maps the image to itself.
a)
90°
b)
180°
c)
45°
d)
60°
22.
Identify the smallest angle of rotation that maps the image to itself.
a)
180°
b)
360°
c)
90°
d)
No rotational symmetry
23.

Which transformation maps the rectangle to itself?

a)

A 90 degree rotation about the center

b)

A reflection over the blue line

c)

a reflection across the red line

d)

a reflection across the green line

24.

Which of the following transformations carry this regular polygon onto itself?

a)

Rotation of 36 degrees counterclockwise

b)

Rotation of 120 degrees counterclockwise

c)

Rotation of 90 degrees counterclockwise

d)

Reflection across l\ l

25.

Which of the following transformations carry this regular polygon onto itself?

a)

Rotation of 36 degrees counterclockwise

b)

Rotation of 72 degrees counterclockwise

c)

Rotation of 90 degrees counterclockwise

d)

Rotation of 60 degrees counterclockwise

26.

Which of the following transformations carry this regular polygon onto itself?

a)

Rotation of 144 degrees counterclockwise

b)

Rotation of 120 degrees counterclockwise

c)

Rotation of 90 degrees counterclockwise

d)

Rotation of 64 degrees counterclockwise

27.

Which of the following transformations carry this REGULAR polygon onto itself?

a)

Rotation of 72 degrees counterclockwise

b)

Rotation of 180 degrees counterclockwise

c)

Rotation of 90 degrees counterclockwise

d)

Reflection across l\ l

28.

Which of the following transformations carry this regular polygon onto itself?

a)

Rotation of 45 degrees counterclockwise

b)

Rotation of 60 degrees clockwise

c)

Rotation of 60 degrees counterclockwise

d)

Rotation of 36 degrees counterclockwise

29.

Which of the following transformations carry this regular polygon onto itself?

a)

Rotation of 45 degrees counterclockwise

b)

Rotation of 72 degrees counterclockwise

c)

Rotation of 60 degrees counterclockwise

d)

Reflection across l\ l

30.
Translations, reflections and rotations are all known as ________________________.
a)
Geometry
b)
Transformations
c)
Congruent
31.
Identify the transformation from ABC to A'B'C'.
a)
90o clockwise rotation
b)
90o counter clockwise rotation
c)
Reflection across the y-axis
d)
Reflection across the x-axis
32.

What is this picture an example of?

a)

Reflection

b)

Translation

c)

Rotation

d)

Dilation

33.
After a figure has been transformed, we call the new figure the...
a)
Image
b)
Different shape
c)
Figure that moved
d)
Prime
34.
Congruent means...
a)
The same angles.
b)
The same size and same shape.
c)
Equal to.
d)
The same transformation.
35.
What symbol is used to show that two things are congruent?
a)
≠
b)
≅
c)
≡
d)
=
36.

Zach and Naomi are studying geometric transformations. Zach is able to move the triangle AA to  A′A'  using the following sequence of basic transformations:

        1. Reflection across the x-axis.
        2. Reflection across the y-axis.
        3. Translation two units to the right.
Naomi claims that the same three transformations, done in any order will always produce the same result. Zach disagrees. Who is correct?

a)

Zach

b)

Naomi

c)

Both are correct

d)

Both are incorrect

37.

The figure shows two perpendicular lines, and , intersecting at a point P in the interior of a trapezoid. Line is parallel to the bases and bisects both legs of the trapezoid. Line bisects both the bases of the trapezoid. Which transformation will carry the figure onto itself?

a)

a reflection across line r .

b)

a reflection across line ss .

c)

a rotation of 90°90\degree about point PP .

d)

a rotation of 180°180\degree about point PP .

38.

Octagon  PQRSTVWZPQRSTVWZ is a regular octagon with its center at point  CC  . Which transformations will map octagon  PQRSTVWZPQRSTVWZ   onto itself? Select ALL that apply.

a)

reflection over  \overline{QV} . 

b)

reflecting over  RW‾\overline{RW}  

c)

reflecting over  TZ‾\overline{TZ}  

d)

rotating  45°45\degree  clockwise around point  ZZ  

e)

rotating  90°90\degree  counterclockwise around point  CC  

39.
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.
40.
Which answer shows a reflection across the y-axis?
a)
a
b)
b
c)
c
d)
d
41.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise 
b)
180 degrees
c)
270 counterclockwise 
42.
Identify the transformation from ABCD to A'B'C'D'.
a)
Translation
b)
Reflection across the x-axis
c)
Reflection across the y-axis
d)
90o counter clockwise rotation
43.
Identify the transformation from ABC to A'B'C'.
a)
90o clockwise rotation
b)
90o counter clockwise rotation
c)
Reflection across the y-axis
d)
Reflection across the x-axis
44.
Describe the transformation.
a)
rotation 90 degrees clockwise about the origin
b)
reflection across the y-axis
c)
rotation 90 degrees counterclockwise about the origin
d)
rotation 180 degrees about the origin
45.

Which of the following describes the sequence of transformations shown?

a)

Reflect across the x-axis and then rotate -90 degrees cw around the origin

b)

Rotate 90 degrees cw 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 ccw about the origin.

46.
Describe the Transformation
a)
Translation
b)
Reflection
c)
Rotation
47.

Describe the rotation.

a)

Rotation 90o counter clockwise around the origin

b)

Rotation 90o clockwise around the origin

c)

Rotation 270o counter clockwise around the origin

d)

Rotation 180o counter clockwise around the origin

48.

Which triangle is the image of triangle B after a rotation of 270o clockwise around the origin?

a)

Triangle B

b)

Triangle C

c)

Triangle A

d)

Triangle D

49.

The red triangle represents what type of rotation:

a)

180° clockwise or counter clockwise around the origin

b)

90° clockwise around the origin

c)

90° counter clockwise around the origin

50.

When a figure is translated, what is true? Select all that apply.

a)

The image has the same coordinates as the preimage.

b)

All the coordinates from the image have moved in the same direction.

c)

Corresponding segments are parallel.

d)

The image and preimage are congruent.

e)

The image is a different size compared to the preimage.

51.

When a figure is reflected, what is true? Select all that apply.

a)

The line of reflection is the perpendicular bisector of corresponding vertices.

b)

Corresponding vertices are equidistant from the line of reflection.

c)

The image moves a specified distance to the right, left, up or down.

d)

The image and preimage are congruent.

e)

The image is a different size compared to the preimage.

52.

When a figure is rotated, what is true? Select all that apply.

a)

Corresponding vertices are equidistant from the center of rotation.

b)

You need to know the angle of rotation, center of rotation, and the direction.

c)

The image flips over a specific line.

d)

The image and preimage are congruent.

e)

The image is a different size compared to the preimage.

53.
Which transformation is NOT a rigid motion (the size changes)?
a)
reflection
b)
rotation
c)
dilation
d)
translation
54.
A rigid motion ...
a)
preserves size and location
b)
preserves shape and location
c)
preserves size and shape
d)
makes the figure larger
55.

What sequence of transformations will map trapezoid A to its image A'?

a)

Reflection across vertical line, then translation downwards

b)

Rotation 180 degrees, then reflection over x-axis

c)

Reflection across x-axis, then translation upwards

d)

Rotation 180 degrees, then reflection over y-axis

56.

Which statement is true about a translation?

a)

A translation takes a line to a parallel line or itself

b)

A translation takes a line to a perpendicular line

c)

A translation requires a center of translation

d)

A translation requires a line of translation

e)

A translation rotates a line.

57.

Select all sequences of translations, rotations, and reflections below that would take polygon P to polygon Q.

a)

Rotate 180° around point A

b)

Translate so that A is taken to J. Then reflect over line BA.

c)

Rotate 60° counterclockwise around point A and then reflect over the line FA

d)

Reflect over the line BA and then rotate 60° counterclockwise around point A.

e)

Reflect over line BA and then translate by directed line segment BA.

58.

Select ALL sequences of translations, rotations, and reflections below that would take polygon P to polygon Q.

a)

Reflect over line BA and then translate by directed line segment CB

b)

Translate by directed line segment BA then reflect over line BA

c)

Rotate 60° clockwise around point B and then translate by directed line segment CB.

d)

Translate so that E is taken to H. Then rotate 120° clockwise around point H.

e)

Translate so that A is taken to J. Then reflect over line BA.

59.
The mathematical term for the line that you reflect a shape over is the...
a)
Mirror
b)
Reflective tape
c)
Line that you reflect over
d)
Line of reflection
60.
What is the best description for why two shapes are congruent after a reflection?
a)
They aren't.
b)
It's the same shape in a different place.
c)
The sides and angles do not change when you reflect.
d)
It's a reflection.
61.

Select ALL sequences of translations, rotations, and reflections below that would take quadrilateral GHIJ to G'H'I'J'.

a)

Translate quadrilateral GHIJ by the directed line segment from J to J'.

b)

Reflect GHIJ over HI. Translate by directed line segment from J to J'.

c)

Rotate 180° around center H. Translate by directed line segment from H to H'. Rotate 180° around center H'.

d)

Reflect over line GH and then translate by directed line segment G to G'.

e)

Reflect over line GH and then translate by directed line segment G to G'. Reflect over G'H'.

62.

Square BCDE is inscribed in a circle with center A.


What is the image of segment BC after a 90° counterclockwise rotation around center A?

a)

CD

b)

DE

c)

EB

d)

BC

63.

Square BCDE is inscribed in a circle with center A.


What is the image of segment BC after a 180° rotation around center A?

a)

CD

b)

DE

c)

EB

d)

BC

64.

Square BCDE is inscribed in a circle with center A.


What is the image of segment BC after a 270° clockwise rotation around center A?

a)

CD

b)

DE

c)

EB

d)

BC

65.

Regular Hexagon BCDEFG is inscribed in a circle with center A.


What is the image of segment BC after a 60° clockwise rotation around center A?

a)

CD

b)

DE

c)

EF

d)

FG

e)

GB

66.

Regular Hexagon BCDEFG is inscribed in a circle with center A.


What is the image of segment BC after a 60° counterclockwise rotation around center A?

a)

CD

b)

DE

c)

EF

d)

FG

e)

GB

67.

Regular Hexagon BCDEFG is inscribed in a circle with center A.


What is the image of segment BC after a 120° counterclockwise rotation around center A?

a)

CD

b)

DE

c)

EF

d)

FG

e)

GB

68.

Regular Hexagon BCDEFG is inscribed in a circle with center A.


What is the image of segment BC after a 120° clockwise rotation around center A?

a)

CD

b)

DE

c)

EF

d)

FG

e)

GB

69.

Regular Hexagon BCDEFG is inscribed in a circle with center A.


What is the image of segment BC after a 180° rotation around center A?

a)

CD

b)

DE

c)

EF

d)

FG

e)

GB

70.

Equilateral Triangle BCD is inscribed in a circle with center A.


What is the image of segment BC after a 60° rotation clockwise around center A?

a)

CD

b)

DB

c)

BC

71.

Equilateral Triangle BCD is inscribed in a circle with center A.


What is the image of segment BC after a 120° rotation counterclockwise around center A?

a)

CD

b)

DB

c)

BC

72.

Equilateral Triangle BCD is inscribed in a circle with center A.


What is the image of segment BC after a 120° rotation counterclockwise around center A?

a)

CD

b)

DB

c)

BC

73.

Equilateral Triangle BCD is inscribed in a circle with center A.


What is the image of segment BC after a 240° rotation counterclockwise around center A?

a)

CD

b)

DB

c)

BC

74.

Equilateral Triangle BCD is inscribed in a circle with center A.


What is the image of segment BC after a 240° rotation clockwise around center A?

a)

CD

b)

DB

c)

BC

75.

Square BCDE is inscribed in a circle with center A.


What is the image of segment BC after a reflection over the perpendicular bisector of BE?

a)

CD

b)

DE

c)

EB

d)

BC

76.

Square BCDE is inscribed in a circle with center A.


What is the image of segment BC after a reflection over the perpendicular bisector of ED?

a)

CD

b)

DE

c)

EB

d)

BC

77.

Regular Hexagon BCDEFG is inscribed in a circle with center A.


What is the image of segment BC after a reflection over the line BE?

a)

CD

b)

DE

c)

EF

d)

FG

e)

GB

78.

Regular Hexagon BCDEFG is inscribed in a circle with center A.


What is the image of segment BC after a reflection over the line GD?

a)

CD

b)

DE

c)

EF

d)

FG

e)

GB

79.

Regular Hexagon BCDEFG is inscribed in a circle with center A.


What is the image of segment BC after a reflection over the line CF?

a)

CD

b)

DE

c)

EF

d)

FG

e)

GB

80.

Equilateral Triangle BCD is inscribed in a circle with center A.


What is the image of segment BC after a reflection over the perpendicular bisector of BD?

a)

CD

b)

DB

c)

BC

81.

Equilateral Triangle BCD is inscribed in a circle with center A.


What is the image of segment BC after a reflection over the perpendicular bisector of CD?

a)

CD

b)

DB

c)

BC

82.

Equilateral Triangle BCD is inscribed in a circle with center A.


What is the image of segment BC after a reflection over the perpendicular bisector of BC?

a)

CD

b)

DB

c)

BC

83.
a)
∠1 & ∠2
are vertical angles
b)
∠2 & ∠4
are vertical angles
c)
∠5 & ∠8
are vertical angles
d)
∠1 & ∠5
are vertical angles
84.
a)
∠1 & ∠2
are corresponding angles
b)
∠2 & ∠4
are corresponding angles
c)
∠5 & ∠8
are corresponding angles
d)
∠1 & ∠5
are corresponding angles
85.
a)
∠1 & ∠8
are alternate interior angles
b)
∠2 & ∠3
are alternate interior angles
c)
∠4 & ∠5
are alternate interior angles
d)
∠7 & ∠4
are alternate interior angles
86.
Angles on opposite sides of a vertex and are congruent are called _____.
a)
Vertical angles
b)
Corresponding Angles
c)
Supplementary Angles
d)
Alternate Interior Angles
87.
Angles inside a pair of lines on the opposite sides of a transversal and are congruent are called _____.
a)
Vertical angles
b)
Corresponding Angles
c)
Supplementary Angles
d)
Alternate Interior Angles
88.
a)
∠A=82°
b)
∠A=98°
c)
∠A=180°
d)
∠A=8°
89.
a)
∠D=116°
b)
∠D=64°
c)
∠D=180°
d)
∠D=26°
90.
a)
∠C=116°
b)
∠C=64°
c)
∠C=180°
d)
∠C=26°
91.
∠2 & ∠4 are...
a)
Supplementary angles
b)
Vertical angles
c)
Corresponding angles
d)
Alternate interior angles
92.
∠6 & ∠7 are...
a)
Supplementary angles
b)
Vertical angles
c)
Corresponding angles
d)
Alternate interior angles
93.
∠2 & ∠6 are...
a)
Supplementary angles
b)
Vertical angles
c)
Corresponding angles
d)
Alternate interior angles
94.
∠3 & ∠6 are...
a)
Supplementary angles
b)
Vertical angles
c)
Corresponding angles
d)
Alternate interior angles
95.
Angle Q and B are...
a)
Supplementary
b)
Congruent
96.
Angle Q and B are...
a)
Alternate Interior Angles
b)
Consecutive Interior Angles
c)
Corresponding Angles
d)
Alternate Exterior Angles
97.

Find x.

a)

115 °\degree

b)

65 °\degree

c)

36 °\degree

d)

245 °\degree

98.

What is the missing angle?

a)

120 degrees

b)

90 degrees

c)

65 degrees

d)

40 degrees

99.

Find the missing angle.

a)

39 degrees

b)

87 degrees

c)

42 degrees

d)

36 degrees

100.

Find h.

a)

32 degrees

b)

92 degrees

c)

56 degrees

d)

not enough information

101.
The Triangle Sum Theorem states that the sum of all angles in a triangle is ______. 
a)
45°
b)
90°
c)
180°
d)
360°
102.
Find the measure of the missing angle.
a)
90o
b)
100
c)
130o
d)
50o
103.
Find the measure of the missing angle.
a)
30o
b)
110o
c)
150o
d)
40o
104.

A student is trying to construct triangles using four different sets of angles. The angles in each set are given below. Which set will form a triangle?

a)

45°, 65°, 70°

b)

150°, 110°, 100°

c)

50°, 50°, 50°

d)

90°, 90°, 90°

105.

Find the indicated angle. (What is ?)

a)

91°

b)

81°

c)

89°

d)

109°

106.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
107.

Find the indicated angle measure. (What is ?)

a)

51°

b)

37°

c)

167°

d)

41°

108.

Solve for x

a)

49

b)

58

c)

70

d)

94

109.

Solve for x

a)

70

b)

23

c)

120

d)

130

110.

Solve for x

a)

60

b)

120

c)

40

d)

65

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