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Worksheets

G-CHAPTER 7 TEST 2023-2024

Total questions: 148

Worksheet time: 6hrs 51mins

Name
Class
Date
1.
How is trapezoid ABCD translated to trapezoid A'B'C'D'?
a)
Translated 5 units down and 5 units to the right
b)
Translated 5 units down and 1 to the right
c)
Translated 8 units down and 5 units to the right
d)
Translated 5 units down and 4 units to the right
2.
How would you translate point P to P'?
a)
Translate 2 units to the right and  8 units down
b)
Translate 3 units down and 2 units to the right
c)
Translate 4 units down and 4 units to the left
d)
Translate 8 units to the right and 2 units down
3.
The result of a transformation.
a)
Pre-image
b)
Image
4.
Determine how to translate triangle ABC to triangle A'B'C'.
a)
left 2, up 9
b)
right 2, down 9
c)
left 2, down 9
d)
left 2, up 5
5.

The original point that is to be transformed is called the:

a)

Pre-Image

b)

Image

c)

Post-Image

d)

Transformation

6.

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

7.

Translate the pink shape to the blue shape...

a)

5 Right

2 Down

b)

5 Left

2 Up

c)

3 Right

1 Down

d)

3 Left

1 Up

8.

Translate the blue shape to the green shape...

a)

3 Left

3 Down

b)

3 Right

3 Up

c)

2 Right

3 Up

d)

2 Left

3 Down

9.
How is trapezoid ABCD translated to trapezoid A'B'C'D'?
a)
Translated 5 units down and 5 units to the right
b)
Translated 5 units down and 1 to the right
c)
Translated 8 units down and 5 units to the right
d)
Translated 5 units down and 4 units to the right
10.
A transformation in which a graph or geometric figure is picked up and moved to another  location without any change in size or orientation.
a)
Translation
b)
Rotation
c)
Reflection
d)
Dilation
11.
Determine how to translate triangle A'B'C' to triangle ABC.
a)
right two, down five
b)
right two, down 9
c)
left two, down 9
d)
left two, down 5
12.
How is triangle ABC being translated to triangle A'B'C'?
a)
up 3, left 8
b)
up 9, left 4
c)
down 3, right 8
d)
down 9, right 4
13.
How is Quadrilateral EFGH translated to E'F'G'H'?
a)
6 down
b)
6 down, 1 right
c)
6 down, 3 left
d)
8 down, 1 right
14.
What does a translation do to an image?
a)
Turns it 90* clockwise
b)
Mirrors it
c)
Shrinks it
d)
Slides it
15.

After a translation, figures are no longer congruent.

a)

True

b)

False

16.

Describe the translation that maps point Q to Q'.

a)

7 units up, 2 units right

b)

3 units left, 8 units right

c)

7 units right, 2 units up

d)

3 units right, 8 units left

17.

After a translation, figures face the same direction but have a different size and shape.

a)

True

b)

False

18.

Describe the translation that maps point C to C'

a)

8 units right and 4 units up

b)

9 units right and 4 units up

c)

4 units right and 8 units up

d)

4 units right and 9 units up

19.

What is a translation?

a)

Changing quadrants in the coordinate plane

b)

Transformation that changes the size of a figure

c)

Transformation that changes the color of a figure

d)

Transformation that changes the position of a figure

20.

After a translation, figures face the same direction but have a different size and shape.

a)

True

b)

False

21.

Describe the translation that maps point Q to Q'.

a)

7 units up, 2 units right

b)

3 units left, 8 units right

c)

7 units right, 2 units up

d)

3 units right, 8 units left

22.

After a translation, figures are no longer congruent.

a)

True

b)

False

23.

Describe the translation that maps point C to C'

a)

8 units right and 4 units up

b)

9 units right and 4 units up

c)

4 units right and 8 units up

d)

4 units right and 9 units up

24.

Tell me the coordinates for point R' after a translations 5 units right and 3 units up.

a)

(3,0)

b)

(0,3)

c)

(1,2)

d)

(2,1)

25.

Describe the translation that maps triangle IRT to triangle I'R'T'.

a)

4 units up, 6 units left

b)

6 units right, 4 units down

c)

6 units up 4, units left

d)

4 units right, 6 units down

26.

Joe translates a triangle 4 units right and 3 units up. Check all things that will change about the triangle.

a)

Size

b)

Color

c)

Orientation

d)

Location

e)

Congruence

27.
How is Quadrilateral EFGH translated to E'F'G'H'?
a)
6 down
b)
6 down, 1 right
c)
6 down, 3 left
d)
8 down, 1 right
28.

Select the picture showing a translation of:

2 squares right and 1 square up

a)
b)
c)
d)
29.

Select the picture showing a translation of:

1 square right and 2 squares up

a)
b)
c)
d)
30.

Select the picture showing a translation of:

3 squares right and 2 squares up

a)
b)
c)
d)
31.

Select the picture which shows a translation:

4 squares right and 5 squares down

a)
b)
c)
d)
32.

Select the picture which shows a translation:

2 squares right and 4 squares down

a)
b)
c)
d)
33.

Select the picture which shows a translation:

4 squares right and 2 squares down

a)
b)
c)
d)
34.
Identify the transformation.
a)
Reflection across y-axis
b)
90 Rotation counter clockwise
c)
Translation 5 units left, 1 unit up.
d)
Translation 5 units right, 1 unit down
35.

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

36.

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

37.
The original figure prior to a transformation.
a)
Pre-image
b)
Image
38.
The result of a transformation.
a)
Pre-image
b)
Image
39.
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)
40.
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)
41.
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)
42.

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

a)

x-coordinate

b)

y-coordinate

43.
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
44.

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 - 2, y + 9)

45.

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)

46.
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
47.
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)
48.

What does the word translation mean in math?

a)

To change an object by flipping it

b)

To change an object by turning it

c)

To change an objects by sliding it

49.

Select the picture showing a translation of:

4 squares right and 1 square up

a)
b)
c)
d)
50.

Select the picture which shows a translation:

4 squares right and 5 squares down

a)
b)
c)
d)
51.

What color is the pre-image?

a)

blue

b)

purple

52.

What color is the image?

a)

red

b)

blue

53.
Where would A' be if you translated A 3 units to the right and 4 units down?
a)
(-4, 4)
b)
(-1, 0)
c)
(0, -1)
54.
Reflect the point (2, -4) over the y-axis.
a)
(-4, 2)
b)
(-2, 4)
c)
(-2, -4)
d)
(2, 4)
55.
Reflect (6, -3) over the line x-axis.
a)
(6, 3)
b)
(-6, -3)
c)
(-3, 6)
d)
(3, -6)
56.
Which answer shows a reflection across the x-axis?
a)
d
b)
c
c)
b
d)
a
57.
Point C (-5, 4) is reflected over the x-axis. What are the coordinates of C'? 
a)
(5, 4)
b)
(-5, -4)
c)
(5, -4)
d)
(-5, 4) 
58.
∆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)
59.
∆BCD contains the points: B(2,3) C(2,1) D(5,1). If the triangle is reflected across the x-axis, what will B' be?
a)
B'(2, -3)
b)
B'(-2, 3)
c)
B'(-2, -3)
d)
B'(2, 3)
60.
Reflect Point C over the y-axis:
a)
(-3, 2)
b)
(3,2)
c)
(-2,3)
d)
(3,0)
61.
Flipping a figures is a ...
a)
Rotation
b)
Reflection
c)
Dilation
d)
Translation
62.
Reflect over the x axis and find K'.
a)
(4, 1))
b)
(-1, -4)
c)
(1, -4)
d)
(1, 4)
63.
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
64.

The point (a, b) is reflected over the x-axis, then the y-axis, then the y-axis again, and then the x-axis again. What are the coordinates of the new point?

a)

(−a, b)

b)

(−a, −b)

c)

(a, −b)

d)

(a, b)

65.
Reflecting over the y-axis changes the ____-_____________. 
a)
x-axis
b)
x-coordinate
c)
y-coordinate
d)
y-axis
66.
B(-2, -4)
Reflect over the line y = x
a)
(2, -4)
b)
(-4, 2)
c)
(-4, -2)
d)
(4, 2)
67.
Reflect (6, -3) over the line x-axis.
a)
(6, 3)
b)
(-6, -3)
c)
(-3, 6)
d)
(3, -6)
68.
Reflect the point (2, -4) over the y-axis.
a)
(-4, 2)
b)
(-2, 4)
c)
(-2, -4)
d)
(2, 4)
69.
If the dotted figure is the image, the original figure was reflected over the ...
a)
x-axis
b)
y-axis
70.
The point (a, b) is reflected over the y-axis, then the x-axis, then the y-axis again, and then the y-axis again. What are the coordinates of the new point?
a)
(−a, b)
b)
(−a, −b)
c)
(a, −b)
d)
(a, b)
71.

Flipping a figure is a ...

a)

Rotation

b)

Reflection

c)

Dilation

d)

Translation

72.
Reflecting over the y-axis changes the ____-_____________. 
a)
x-axis
b)
x-coordinate
c)
y-coordinate
d)
y-axis
73.

Reflect the point (3,4) over the y-axis

(a)  

74.

Reflect the point (4,5) over the x-axis

(a)  

75.

Reflect the point (-1,7) over the x-axis

(a)  

76.

Reflect the point (-2,-9) over the y-axis

(a)  

77.

Reflect the point (8,-6) over the y-axis

(a)  

78.

Describe the transformation in the image

a)

Translation

b)

Reflection

c)

Rotation

79.
Reflect Point C over the y-axis:
a)
(-3, 2)
b)
(3,2)
c)
(-2,3)
d)
(3,0)
80.

The point (2,-2) is reflected to it's image, which is at (2,2). What axis did it reflect across?

a)

x-axis

b)

y-axis

81.

The point (-4,1) is reflected to it's image, which is at (4,1). What axis did it reflect across?

a)

x-axis

b)

y-axis

82.

Reflect Point C over the line x = 1

a)

(-1, 2)

b)

(3, 0)

c)

(0, 2)

d)

(3, -1)

83.

Reflect the shape over the line y = x. Where is A'?

a)

(7, 2)

b)

(-2, 7)

c)

(2, -7)

d)

(-7, -2)

84.
Dilations only enlarge figures.
a)
True
b)
False
85.
A scale factor of 1/2 reduces a figure.
a)
True
b)
False
86.
A dilation creates a similar figure.
a)
True
b)
False
87.
If a line segment has a length of 12 units and after a dilation the image length is 4 units, what was the scale factor?
a)
3
b)
1/3
c)
8
88.
The "image" is the shape before the dilation.
a)
True
b)
False
89.
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
90.
A dilation can produce a smaller figure also known as a ______
a)
reduction
b)
enlargement
c)
scale factor
d)
center of dilation
91.
 A dilation can produce a larger figure also known as a ______
a)
reduction
b)
enlargement
c)
scale factor
d)
center of dilation
92.
If a dilation produces a congruent figure, then the scale factor was equal to _____.
a)
1/2
b)
2
c)
10
d)
1
93.
Dilate the figure by a scale factor of 3 with the origin as the center of dilation. 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)
94.
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
a)
½
b)
¼
c)
4
d)
2
95.
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)
96.
Triangle ABC will be dilated by a scale factor of 1/2.  What will be the coordinates of C'?
a)
(-1, -2.5)
b)
(12, 6)
c)
(3, -1.5)
d)
(0, 1.5)
97.

An image is dilated at a scale factor of 1.5. This means the dilation is an enlargement and the dilated image will be bigger.

a)

True

b)

False

98.
Dilate Point B by a scale factor of 3:
a)
(12,0)
b)
(12,12)
c)
(4,3)
d)
(0,12)
99.

Rotation Rules (clockwise):

90o rotation: (x, y)→(y, -x)

What are the coordinates for A' after a 90⁰ rotation clockwise?

a)

(1, 3)

b)

(3, 1)

c)

(3, -1)

d)

(1, -3)

100.

Rotation Rules (clockwise):

180o rotation: (x, y)→(-x, -y)

What are the coordinates of C' after a rotation of 180° clockwise?

a)

(-3, -1)

b)

(3,1)

c)

(1,3)

d)

(-1, -3)

101.

Rotation Rules (clockwise):

270o rotation: (x, y)→(-y, x)

What are the coordinates of B' after a 270° clockwise?

a)

(4, 4)

b)

(4, -4)

c)

(-3, 4)

d)

(-4, 4)

102.

Determine the degrees of rotation from each petal.

a)

20°

b)

72°

c)

45°

d)

60°

103.

What is the degree of rotations between each blade in the picture?

a)

45°

b)

90°

c)

60°

d)

30°

104.

How many degrees of rotation are there from petal to petal for this flower?

a)

60°

b)

45°

c)

90°

d)

75°

105.

A counterclockwise rotation of 90° is equivalent to how many degrees of rotation clockwise?

a)

90°

b)

180°

c)

270°

d)

360°

106.

A rotation counterclockwise of 120° is equivalent to a clockwise rotation of how many degrees?

a)

60°

b)

120°

c)

180°

d)

240°

107.

A counterclockwise rotation of 125° is equivalent to a clockwise rotation of how many degrees?

a)

235°

b)

55°

c)

125°

d)

180°

108.
If you were to rotate ABCD 180° about the origin, what would the coordinates of B' be?
a)
(0, 0)
b)
(-6, -5)
c)
(-1, 3)
d)
(-6, 2)
109.

What is the only rule that will flip the order of x and y?

a)

180 degree rotation

b)

90 degree or 270 degree rotation

c)

Reflection over the y-axis

110.
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)
111.
Rotate the point (-3,-4) around the origin 180 degrees. State the image of the point.
a)
(-4,-3)
b)
(-4,3)
c)
(4,-3)
d)
(3,4)
112.
Triangle B is rotated 90° 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
113.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise 
b)
180 degrees
c)
90 degrees clockwise
114.
Rotate the point (-5,8) around the origin 270 degrees. State the image of the point.
a)
(-8,5)
b)
(8,-5)
c)
(8,5)
d)
(5,-8)
115.

If you rotate Pentagon ABCDE 216° clockwise, where will point A end up?

a)

Point B

b)

Point C

c)

Point D

d)

Point E

116.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise 
b)
180 degrees
c)
90 degrees clockwise
117.
What is the angle of rotation for this counterclockwise rotation about the origin?
a)
90°
b)
180°
c)
270°
d)
360°
118.

What is the only rule that will flip the order of x and y?

a)

180 degree rotation

b)

90 degree or 270 degree rotation

c)

Reflection over the y-axis

119.

What is the rule for reflecting a point over the x-axis?

a)

Change the sign of both x and y coordinates

b)

Change the sign of the x-coordinate

c)

Change the sign of the y-coordinate

d)

Add the y-coordinate to the x-coordinate

120.

What is the rule for reflecting a point over the y-axis?

a)

Add the x-coordinate to the y-coordinate

b)

Multiply the x-coordinate by 2

c)

Change the sign of the y-coordinate

d)

Change the sign of the x-coordinate

121.

What is the rule for reflecting a point over the line y=x?

a)

Swap the x and y coordinates of the point

b)

Add the x and y coordinates of the point

c)

Multiply the x and y coordinates of the point

d)

Divide the x and y coordinates of the point

122.

What is the rule for rotating a point 90 degrees counterclockwise?

a)

Switch the x and y coordinates and then negate the new x-coordinate.

b)

Subtract the x and y coordinates and then negate the new x-coordinate.

c)

Add the x and y coordinates and then negate the new x-coordinate.

d)

Multiply the x and y coordinates and then negate the new x-coordinate.

123.

What is the rule for rotating a point 90 degrees clockwise?

a)

Multiply the x and y coordinates and then negate the new x-coordinate.

b)

Add the x and y coordinates and then negate the new x-coordinate.

c)

Switch the x and y coordinates and then negate the new x-coordinate.

d)

Divide the x and y coordinates and then negate the new x-coordinate.

124.

If a point is reflected over the x-axis, what happens to its y-coordinate?

a)

It becomes its reciprocal

b)

It becomes its opposite (negation)

c)

It becomes its absolute value

d)

It becomes zero

125.

If a point is reflected over the y-axis, what happens to its x-coordinate?

a)

It becomes zero

b)

It becomes squared

c)

It becomes positive

d)

It becomes negated or multiplied by -1.

126.

If a point is reflected over the line y=x, what happens to its x and y coordinates?

a)

Both increase

b)

Swapped

c)

Remain the same

d)

Both decrease

127.

What is the result of rotating a point 180 degrees?

a)

90 degrees

b)

45 degrees

c)

180 degrees

d)

360 degrees

128.

What is the result of rotating a point 270 degrees?

a)

The result of rotating a point 270 degrees is equivalent to rotating it 180 degrees in the clockwise direction.

b)

The result of rotating a point 270 degrees is equivalent to rotating it 360 degrees in the clockwise direction.

c)

The result of rotating a point 270 degrees is equivalent to rotating it 90 degrees in the clockwise direction.

d)

The result of rotating a point 270 degrees is equivalent to rotating it 270 degrees in the clockwise direction.

129.

What is the rule for reflecting a point over the x-axis?

a)

Change the sign of both x and y coordinates

b)

Change the sign of the x-coordinate

c)

Change the sign of the y-coordinate

d)

Add the y-coordinate to the x-coordinate

130.

What is the rule for reflecting a point over the y-axis?

a)

Add the x-coordinate to the y-coordinate

b)

Multiply the x-coordinate by 2

c)

Change the sign of the y-coordinate

d)

Change the sign of the x-coordinate

131.

What is the rule for reflecting a point over the line y=x?

a)

Swap the x and y coordinates of the point

b)

Add the x and y coordinates of the point

c)

Multiply the x and y coordinates of the point

d)

Divide the x and y coordinates of the point

132.

What is the rule for rotating a point 90 degrees counterclockwise?

a)

Switch the x and y coordinates and then negate the new x-coordinate.

b)

Subtract the x and y coordinates and then negate the new x-coordinate.

c)

Add the x and y coordinates and then negate the new x-coordinate.

d)

Multiply the x and y coordinates and then negate the new x-coordinate.

133.

What is the rule for rotating a point 90 degrees clockwise?

a)

Multiply the x and y coordinates and then negate the new x-coordinate.

b)

Add the x and y coordinates and then negate the new x-coordinate.

c)

Switch the x and y coordinates and then negate the new x-coordinate.

d)

Divide the x and y coordinates and then negate the new x-coordinate.

134.

If a point is reflected over the x-axis, what happens to its y-coordinate?

a)

It becomes its reciprocal

b)

It becomes its opposite (negation)

c)

It becomes its absolute value

d)

It becomes zero

135.

If a point is reflected over the y-axis, what happens to its x-coordinate?

a)

It becomes zero

b)

It becomes squared

c)

It becomes positive

d)

It becomes negated or multiplied by -1.

136.

If a point is reflected over the line y=x, what happens to its x and y coordinates?

a)

Both increase

b)

Swapped

c)

Remain the same

d)

Both decrease

137.

What is the result of rotating a point 180 degrees?

a)

90 degrees

b)

45 degrees

c)

180 degrees

d)

360 degrees

138.

What is the result of rotating a point 270 degrees?

a)

The result of rotating a point 270 degrees is equivalent to rotating it 180 degrees in the clockwise direction.

b)

The result of rotating a point 270 degrees is equivalent to rotating it 360 degrees in the clockwise direction.

c)

The result of rotating a point 270 degrees is equivalent to rotating it 90 degrees in the clockwise direction.

d)

The result of rotating a point 270 degrees is equivalent to rotating it 270 degrees in the clockwise direction.

139.

CHOOSE BEST ANSWER

a)

A

b)

B

c)

C

d)

D

140.

CHOOSE BEST ANSWER

a)

A

b)

B

c)

C

d)

D

141.

CHOOSE BEST ANSWER

a)

A

b)

B

c)

C

d)

D

142.

CHOOSE BEST ANSWER

a)

A

b)

B

c)

C

d)

D

143.

CHOOSE BEST ANSWER

a)

A

b)

B

c)

C

d)

D

144.

CHOOSE BEST ANSWER

a)

A

b)

B

c)

C

d)

D

145.

CHOOSE BEST ANSWER

a)

A

b)

B

c)

C

d)

D

146.

CHOOSE BEST ANSWER

a)

A

b)

B

c)

C

d)

D

147.

CHOOSE BEST ANSWER

a)

A

b)

B

c)

C

d)

D

148.

CHOOSE BEST ANSWER

a)

A

b)

B

c)

C

d)

D

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