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Worksheets

Unit 10 Test Review

Total questions: 144

Worksheet time: 3hrs 48mins

Name
Class
Date
1.

Translate the blue shape to the pink shape...

a)

5 Right

2 Down

b)

5 Left

2 Up

c)

3 Right

1 Down

d)

3 Left

1 Up

2.

Translate shape B to shape A...

a)

5 Right

3 Up

b)

5 Left

3 Down

c)

3 Right

3 Up

d)

3 Left

3 Down

3.
Determine where T' would be if you translated T 3 units to the right and 6 units up.
a)
(5, 1)
b)
(2, -5)
c)
(-1, 1)
d)
(8, -2)
4.
The result of a transformation.
a)
Pre-image
b)
Image
5.
The original figure prior to a transformation.
a)
Pre-image
b)
Image
6.
Write the rule for this translation:
Slide 3 up and 2 right
a)
(x, y)---->(x + 3, y + 2)
b)
(x, y)-----> (x+2, y + 3)
c)
(x, y)----> (x - 2, y + 3)
7.
Identify the transformation from ABC to A'B'C'.
a)
(x+8, y+4)
b)
(x-8, y-4)
c)
(x+4, y+8)
d)
(x-4, y-8)
8.
Translation are always _______
a)
Congruent
b)
Bigger
c)
Smaller
d)
Rotated
9.

When translating left or right on a coordinate plane, what coordinate is affected?

a)

x-coordinate

b)

y-coordinate

10.

When translating up or down on a coordinate plane, what coordinate is affected?

a)

x-coordinate

b)

y-coordinate

11.
What does this transformation say to do?
(x, y) -----> (x, y +4) 
a)
slide down 4
b)
slide up 4
c)
slide right 4
d)
slide left 4
12.

What is the algebraic representation 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)

13.
What happens to (-9, 3) when it is translated 4 units down and 3 units right?
a)
(-6, -1)
b)
(-13, 6)
c)
(-5, 6)
d)
(-6, 7)
14.
Which rule would result in a clockwise rotation of 90° about the origin?
a)
(x, y) → (y, x)
b)
(x, y) → (4x, 4y)
c)
(x, y) → (x, -y)
d)
(x, y) → (x + 4, y + 4)
15.

Quadrilateral PQRS is reflected across the y-axis. Which rule describes this transformation?

a)

(X,Y) -> (-X, Y)

b)

(X,Y) -> (X, -Y)

c)

(X,Y) -> (6X, 6Y)

d)

(X,Y) -> (X + 6, Y + 4)

16.

Quadrilateral PQRS is reflected across the x-axis. Which rule describes this transformation?

a)

(X,Y) -> (-X, Y)

b)

(X,Y) -> (X, -Y)

c)

(X,Y) -> (6X, 6Y)

d)

(X,Y) -> (X + 6, Y + 4)

17.
Triangle C is rotated 180° clockwise with the origin as the center of rotation to create a new figure. 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)
18.

The rotation can be represented by the rule:

(x, y) \rightarrow  (y, -x)

a)

True

b)

False

19.

The figure was rotated 90 degrees clockwise or 270 degrees counterclockwise.

a)

True

b)

False

20.

The figure was rotated from quadrant I to II.

a)

True

b)

False

21.

The location of O' is (-8, 1).

a)

True

b)

False

22.

The rotation can be represented by the rule:

(x, y) \rightarrow  (-y, x)

a)

True

b)

False

23.

The rectangle was rotated 90 degrees clockwise.

a)

True

b)

False

24.

The location of C' will be (-2, 5).

a)

True

b)

False

25.

Ivy will rotate the triangle 180 degrees.

a)

True

b)

False

26.

Triangle A'B'C' will be in quadrant I.

a)

True

b)

False

27.

What's the degree of rotation in this image?

a)

90 degrees

b)

180 degrees

c)

270 degrees

d)

360 degrees

28.

This figure is in quadrant 4. If it is rotated 90 degrees counter clockwise, which quadrant will it end in?

a)

quadrant 1

b)

quadrant 2

c)

quadrant 3

d)

quadrant 4

29.

What type of transformation is this an example of?

a)

rotation

b)

translation

c)

reflection

d)

dilation

30.

If this figure is rotated 180 degrees, which quadrant will it end up in?

a)

quadrant 1

b)

quadrant 2

c)

quadrant 3

d)

quadrant 4

31.

Which quadrant is Point U located?

a)

quadrant 1

b)

quadrant 2

c)

quadrant 3

d)

quadrant 4

32.

Rotations, like translations and reflections, produce congruent figures.

a)

true

b)

false

33.

Counter clockwise (CCW) is a _________________ direction while clockwise (CW) is a _________________ direction.

a)

positive; negative

b)

negative; positive

c)

negative; negative

d)

positive; positive

34.

How many directions are there in rotations?

a)

1

b)

2

c)

3

d)

4

35.

A rotation is a __________ of a point, line, or figure on a coordinate plan.

a)

flip

b)

slide

c)

enlargement or reduction

d)

turn or spin

36.

What do translations, reflections, and rotations have in common?

a)

they all produce congruent figures

b)

they all slide a figure on a coordinate plane

c)

they all produce mirror like images on a coordinate plane

d)

they all turn a figure on a coordinate plane

37.

A car driving down a straight road is an example of a _________.

a)

rotation

b)

reflection

c)

translation

d)

dilation

38.

A spinning merry go round in a park is an example of a _______________.

a)

translation

b)

reflection

c)

rotation

d)

dilation

39.

We see reflections in mirrors and water.

a)

true

b)

false

40.
What color is the x-axis?
a)
red
b)
black
c)
green
d)
white
41.
What color is the x-axis?
a)
red
b)
black
c)
green
d)
white
42.
What color is the y-axis?
a)
red
b)
black
c)
green
d)
white
43.
If the dotted figure is the image, the original figure was reflected over the ...
a)
x-axis
b)
y-axis
44.
If the dotted figure is the image, the original figure was reflected over the ...
a)
x-axis
b)
y-axis
45.
State the line of reflection.
a)
Reflection across y-axis
b)
Reflection across x-axis
c)
Reflection across x = 1
d)
Reflection across y = 1
46.
Find K' if the figure is reflected across the x-axis
a)
(4, 1))
b)
(-1, -4)
c)
(1, -4)
d)
(1, 4)
47.
Reflect the point (2, -4) over the y-axis.
a)
(-4, 2)
b)
(-2, 4)
c)
(-2, -4)
d)
(2, 4)
48.
Reflect (6, -3) over the line x-axis.
a)
(6, 3)
b)
(-6, -3)
c)
(-3, 6)
d)
(3, -6)
49.
Which answer shows a reflection across the x-axis?
a)
d
b)
c
c)
b
d)
a
50.
You want to reflect a figure over the horizontal line shown. 
What directions would you give? 
Reflect over the line: ________
a)
x = -4
b)
y = -4
c)
x - y = 4
d)
None of these
51.
The point ( -2,5) is reflected over the line x = 1.  Find its image.
a)
(  4,  5)
b)
( -2  , -5)
c)
( 2  ,  5)
d)
(2   , -5)
52.
∆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)
53.
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)
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      x-axis
b)
Reflection across        y-axis
c)
Reflection across            y = x
d)
Reflection across          y = −x
56.
Dilate Point B by a scale factor of 3:
a)
(12,0)
b)
(12,12)
c)
(4,3)
d)
(0,12)
57.
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)
58.
Similar figures have the same ______ but different ______. 
a)
measure; shapes
b)
sizes; shapes
c)
value; measures
d)
shape; sizes
59.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
60.

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

61.

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)

62.

A dilation produces a congruent figure

a)

True

b)

False

63.
When a dilation has a scale factor greater than one, the dilation is an enlargement.
a)
True
b)
False
64.
When the scale factor of a dilation is less than one, the dilation is a reduction.
a)
True
b)
False
65.
How do you write the algebraic notation when the scale factor is 3?
a)
(x, y) goes to (1/3x, 1/3y)
b)
(x, y) goes to (-3x, -3y)
c)
(x, y) goes to (x + 3, y + 3)
d)
(x, y) goes to (3x, 3y)
66.

ABC is dilated about P(2, -4) by a scale factor of 3.

FInd the coordinates of B'.

a)

B'(0, 6)

b)

B'(-2, 0)

c)

B'(-4, 4)

d)

B'(-4, 2)

e)

B'(-6, 4)

67.

ABC is dilated about P(3, -1) by a scale factor of 0.5.

Find the coordinates of A'.

a)

A'(-2, 5)

b)

A'(-7, 2)

c)

A'(-2, 2)

d)

A'(-3.5, -2.5)

68.

What is the center of dilation, P?

a)

P(0,0)

b)

P(0, -1)

c)

P(2, 0)

d)

P(0, 2)

e)

P(-2, 0)

69.

What is the center of dilation, P?

a)

P(0,0)

b)

P(3, -1)

c)

P(3, -2)

d)

P(2, -3)

70.

What can you say about the scale factor, k?

a)

k > 1

b)

k = 1

c)

0 < k < 1

71.

Find the order of rotational symmetry in this shape.

a)

2

b)

3

c)

4

d)

5

72.

Find the order of rotational symmetry in this shape.

a)

1

b)

2

c)

3

d)

4

73.
What is the order of rotation in the recycling symbol?
a)
1
b)
2
c)
3
d)
1,000
74.
What is the order of rotational symmetry for the shape below?
a)
0
b)
1
c)
2
d)
3
75.

Find the order of rotational symmetry in this shape.

a)

6

b)

8

c)

7

d)

4

76.
What is the order of rotational symmetry for the shape below?
a)
4
b)
5
c)
6
d)
0
77.

What order of rotation and angle of rotation does the picture have?

a)

Order = 0, 360⁰

b)

Order = 1, 360⁰

c)

Order = 2, 180⁰

d)

Order = 3, 120⁰

78.
What order of rotation and angle of rotation does the picture have?
a)
Order = 0,    360⁰
b)
Order = 1,    360⁰
c)
Order = 2,    180⁰
d)
Order = 3,    120⁰
79.
What order of rotation and angle of rotation does the picture have?
a)
Order = 1,    360⁰
b)
Order = 2,    180⁰
c)
Order = 3,    120⁰
d)
Order = 4,    90⁰
80.
What is the order and angle of rotation of the flower?
a)
Order 6, 60 degrees
b)
Order 4, 90 degrees
c)
Order 3, 120 degrees
81.
What is the angle of rotational symmetry when the order is 3?
a)
30°
b)
60°
c)
90°
d)
120°
82.
What is the angle of rotational symmetry when the order is 10?
a)
18°
b)
36°
c)
45°
d)
72°
83.

Find the order of rotational symmetry in this shape.

a)

order 3

b)

order 2

c)

order 1

d)

no order of rotation

84.
Identify the smallest angle of rotation that maps the image to itself.
a)
180°
b)
360°
c)
90°
d)
No rotational symmetry
85.
Identify the smallest angle of rotation that maps the image to itself.
a)
90°
b)
180°
c)
45°
d)
60°
86.
How many lines of symmetry does this shape have?
a)
1
b)
2
c)
3
d)
4
87.
How many lines of symmetry does this shape have?
a)
1
b)
2
c)
4
d)
8
88.
How many lines of symmetry does this shape have?
a)
1
b)
2
c)
3
d)
4
89.
How many lines of symmetry does this shape have?
a)
0
b)
1
c)
2
d)
4
90.
How many lines of symmetry does this shape have?
a)
0
b)
1
c)
2
d)
4
91.
How many lines of symmetry does this shape have?
a)
1
b)
2
c)
4
d)
6
92.
How many lines of symmetry does the butterfly have?
a)
1
b)
2
c)
3
d)
4
93.
How many lines of symmetry does the flower have?
a)
2
b)
3
c)
6
d)
9
94.
How many lines of symmetry does the picture have? 
a)
0 lines of symmetry
b)
1 line of symmetry
c)
2 lines of symmetry
d)
4 lines of symmetry
95.
How many lines of symmetry does the picture have? 
a)
0 lines of symmetry
b)
1 line of symmetry
c)
2 lines of symmetry
d)
3 lines of symmetry
96.
A circle has ______ number of lines of symmetry
a)
4
b)
5
c)
6
d)
infinite / countless
97.
What is the order of rotational symmetry for the shape below?
a)
0
b)
1
c)
2
d)
3
98.
What is the order of rotation in the recycling symbol?
a)
1
b)
2
c)
3
d)
1,000
99.

Find the order of rotational symmetry in this shape.

a)

1

b)

2

c)

3

d)

4

100.

Find the order of rotational symmetry in this shape.

a)

2

b)

3

c)

4

d)

5

101.

Find the order of rotational symmetry in this shape.

a)

3

b)

2

c)

1

d)

0

102.

Find the order of rotational symmetry in this shape.

a)

4

b)

8

c)

7

d)

6

103.

Find the order of rotational symmetry in this shape.

a)

6

b)

8

c)

7

d)

4

104.

Find the order of rotational symmetry in this shape.

a)

0

b)

1

c)

2

d)

3

105.

A figure has _______ symmetry when a line (or lines) divide the shape into two equal parts.

a)

Line

b)

Rotational

c)

Point

106.

Which of the following letters does not have line symmetry, but has point symmetry:

a)

H

b)

I

c)

Z

d)

X

107.

How can we determine if a figure has point symmetry?

a)

If it appears unchanged when turned upside down (rotated 180 degrees).

b)

If a reflected image appears created by a line that intersects the middle of the figure.

108.
How many lines of symmetry does the butterfly have?
a)
1
b)
2
c)
3
d)
4
109.

Which of the following shapes show a line of symmetry?

a)
b)
c)
110.
How many lines of symmetry does this shape have?
a)
0
b)
1
c)
2
d)
4
111.

Which of the following letters does not have line symmetry, but has point symmetry:

a)

H

b)

I

c)

Z

d)

X

112.

Determine what type of symmetry this shape has. Check all that apply.

a)

Line

b)

Point

c)

Both

d)

None

113.

Does this shape have line or point symmetry?

a)

Line

b)

Point

114.

Which of the followings has line and point symmetry?

a)

U

b)

H

c)

S

d)

A

115.
Identify the geometric term.
a)
point 
b)
line
c)
ray
d)
line segment
116.
Identify the geometric term.
a)
point
b)
line
c)
ray
d)
line segment
117.
Identify the geometric term.
a)
ray
b)
line segment
c)
line
d)
point
118.
Identify the geometric term.
a)
line segment
b)
ray
c)
point
d)
line
119.
Identify the geometric term.
a)
line
b)
ray
c)
point
d)
line segment
120.
Identify the geometric term.
a)
point
b)
line
c)
line segment
d)
ray
121.
Identify the geometric term.
a)
line
b)
ray 
c)
point
d)
line segment
122.
Identify the geometric term.
a)
line segment
b)
ray
c)
point
d)
line
123.
True or False.
A line is continuous in both directions.
a)
True
b)
False
124.
True or False.
A line segment has one endpoint and one side that is continuous.
a)
True 
b)
False
125.

Describe the transformation on f(x):


f(x) + 3

a)

vertical stretch of 3

b)

shifts 3 units to the right

c)

shifts 3 units up

d)

shifts 3 units left

126.

Describe the transformation on f(x):


2 f(x)

a)

shifts 2 units up

b)

shifts 2 units to the right

c)

vertical shrink, wider

d)

vertical stretch, more narrow

127.

Describe the transformation on f(x):


F(x) - 2

a)

shifts 2 units up

b)

shifts 2 units to the right

c)

shifts 2 units down

d)

shifts 2 units to the left

128.

Describe the transformation on f(x):


- f(x)

a)

shift 1 unit left

b)

reflection over y-axis

c)

shift 1 unit down

d)

reflection over x-axis

129.

Describe the transformation on f(x):


1/3 f(x)

a)

vertical shrink

b)

vertical stretch

c)

shifts 1 unit up

d)

shifts 3 units right

130.

Describe the transformation on f(x):


f (x + 3)

a)

shifts 3 units left

b)

shifts 3 units right

c)

shifts 3 units up

d)

shifts 3 units down

131.

Describe the following transformation on f(x):


f(x - 7)

a)

shifts 7 units right

b)

shifts 7 units left

c)

shifts 7 units down

d)

shifts 7 units up

132.

Describe the transformation from function f (blue) to g (red):

a)

shifted 1 unit right

b)

vertical shrink, wider

c)

vertical stretch, more narrow

d)

shifted 1 unit up

133.

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

a)

shifts 2 units left

b)

shifts 2 units up

c)

shifts 2 units down

d)

shifts 2 units right

134.

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

a)

shifts 2 units left

b)

shifts 2 units down

c)

shifts 2 units right

d)

shifts 2 units up

135.

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

a)

reflection over x -aixs

b)

reflection over y-axis

c)

vertical shrink

d)

vertical stretch

136.

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

a)

shifted 2 units down

b)

shifted 2 units up

c)

vertical stretch, more narrow

d)

vertical shrink, wider

137.

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

a)

vertical shrink, wider

b)

vertical stretch, more narrow

c)

shifted 2 units left

d)

shifted 2 units right

138.

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

a)

reflection over x-axis

b)

shifted up 2 units

c)

vertical stretch

d)

vertical shrink

139.

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

a)

shifts 1 unit right

b)

shifts 1 unit left

c)

shifts 1 units up

d)

shifts 1 unit down

140.

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

a)

vertical shrink

b)

reflection over y-axis

c)

reflection over x-axis

d)

vertical stretch

141.

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

a)

vertical shrink

b)

reflection over y-axis

c)

reflection over x-axis

d)

vertical stretch

142.

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

a)

3 units right

b)

3 units up

c)

vertical stretch, more narrow

d)

vertical shrink, wider

143.

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

a)

reflection over y-axis

b)

reflection over x-axis

c)

vertical stretch

d)

vertical shrink

144.

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

a)

shifts 2 units up

b)

shifts 6 units up

c)

vertical stretch, more narrow

d)

vertical shrink, wider