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7th KAP Math Transformations Review

Total questions: 100

Worksheet time: 4hrs 15mins

Name
Class
Date
1.
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
2.
The original figure prior to a transformation.
a)
Pre-image
b)
Image
3.

Which translation will move 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

4.
What does a translation do to an image?
a)
Turns it 90* clockwise
b)
Mirrors it
c)
Shrinks it
d)
Slides it
5.
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
6.

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

a)

x-coordinate

b)

y-coordinate

7.

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

a)

x-coordinate

b)

y-coordinate

8.
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
9.
The result of a transformation.
a)
Pre-image
b)
Image
10.
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)
11.

Which triangle is a translation of triangle X?

a)

triangle B

b)

triangle A

c)

triangle D

d)

triangle C

12.
If the quadrilateral is translated 4 units to the left and 5 units down what is the coordinates for Point A'?
a)
(4,0)
b)
(0,4)
c)
(-1,5)
d)
(5,-1)
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.

Which graph shows a translation?

a)
b)
c)
d)
15.

What is the translation of the point (3, 5) by 2 units to the right and 3 units down?

a)

(5, 2)

b)

(3, 2)

c)

(5, 8)

d)

(1, 8)

16.

What are the coordinates of the point obtained by translating (1, -3) 4 units to the left and 2 units up?

a)

(-7, -1)

b)

(5, -1)

c)

(1, -5)

d)

(-3, -1)

17.

What is the translation of the point (6, -1) by 3 units to the left and 2 units up?

a)

(3, -3)

b)

(-3, 1)

c)

(9, -3)

d)

(3, 3)

18.

What are the coordinates of the point obtained by translating (−3, 2) 5 units to the right and 1 unit down?

a)

(-1, 3)

b)

(7, 1)

c)

(2, -1)

d)

(2, 1)

19.

What is the translation of the point (−1, 6) by 4 units to the right and 3 units down?

a)

(3, 3)

b)

(−5, 0)

c)

(0, 3)

d)

(7, 9)

20.
Which answer shows a reflection across the y-axis?
a)
a
b)
b
c)
c
d)
d
21.

Describe the transformation that has occured.

a)

Translation of 4 units to the left

b)

Reflection over the y-axis

c)

Reflection over the x-axis

d)

Translation of 4 units to the right

22.

What shape is the result of a reflection across the x-axis from shape E?

a)

A

b)

C

c)

B

d)

D

23.

What is the reflection of F (3, 4) over the x-axis?

a)

F' (-3, -4)

b)

F' (3, -4)

c)

F' (-3, 4)

d)

F' (4, 3)

24.

What is the reflection of R (-1, 6) over the y-axis?

a)

R'(1, 6)

b)

R'(6, 1)

c)

R' (-1, 6)

d)

R' (-6, 1)

25.

What is a key word to describe a reflection of a point?

a)

look-a-like image

b)

same image

c)

mirror image

d)

twin image

26.

Reflect the ordered pair (-2, 5) over the x-axis. What are the coordinates for the reflection.

a)

A. (2, 5)

b)

B. (-2, -5)

c)

C. (-2, 5)

d)

D. (5, -2)

27.

Reflect the ordered pair (5, -2) over the y-axis. What are the coordinates for the reflection.

a)

A. (5, 2)

b)

B. (-5, -2)

c)

C. (-5, 2)

d)

D. (-2, 5)

28.

Point A has the coordinates (-5, 1).
Point B has the coordinates (-9, 3).
Point C has the coordinates (-8, 10).

What would the coordinates of B' be if it was reflected across the x-axis?



(a)  

29.

Point A has the coordinates (4, -5).
Point B has the coordinates (6, -3).
Point C has the coordinates (10, -6).
Point D has the coordinates (5, -10).

What would the coordinates of B'' be if it was reflected across the x-axis and then the y-axis?



(a)  

30.

Point A has the coordinates (4, -5).
Point B has the coordinates (6, -3).
Point C has the coordinates (10, -6).
Point D has the coordinates (5, -10).

What would the coordinates of C' be if it was reflected across the y-axis?



(a)  

31.

Point A has the coordinates (3, 4).
Point B has the coordinates (8, 2).
Point C has the coordinates (10, -10).

What would the coordinates of C'' be if it was reflected across the x-axis and then the y-axis?



(a)  

32.

Point A has the coordinates (3, 4).
Point B has the coordinates (8, 2).
Point C has the coordinates (10, -10).

What would the coordinates of B' be if it was reflected across the y-axis?



(a)  

33.

Point A has the coordinates (3, 4).
Point B has the coordinates (8, 2).
Point C has the coordinates (10, -10).

What would the coordinates of A' be if it was reflected across the x-axis?



(a)  

34.

Plot the point (3, 4) on a coordinate plane. Then, dilate the point by a scale factor of 2. What are the new coordinates of the dilated point?

a)

(5, 6)

b)

(1, 2)

c)

(6, 8)

d)

(9, 12)

35.

On a coordinate plane, point A is located at (2, 5). Point B is the image of point A after a dilation with a scale factor of 3. What are the coordinates of point B?

a)

(8, 20)

b)

(5, 10)

c)

(6, 15)

d)

(3, 8)

36.

If point P(4, 6) is dilated by a scale factor of 0.5, what are the coordinates of the dilated point?

a)

(3, 5)

b)

(6, 4)

c)

(2, 3)

d)

(5, 7)

37.

Identify the center of dilation and the scale factor for the dilation that maps point Q(2, 3) to Q'(6, 9) on a coordinate plane.

a)

(4, 6), 1.5

b)

(2, 3), 2

c)

(0, 0), 3

d)

(1, 1), 4

38.

A triangle with vertices at (1, 2), (3, 4), and (5, 6) is dilated with a scale factor of 2. What are the coordinates of the vertices of the dilated triangle?

a)

(0, 0), (2, 2), (4, 4)

b)

(3, 6), (5, 8), (7, 10)

c)

(4, 8), (6, 10), (8, 12)

d)

(2, 4), (6, 8), (10, 12)

39.

Point R(7, 8) is dilated by a scale factor of 0.75. What are the coordinates of the dilated point?

a)

(8, 7.5)

b)

(5.25, 6)

c)

(6, 5.25)

d)

(9, 9)

40.

On a coordinate plane, point S is located at (3, 3). After a dilation with a scale factor of 4, what are the coordinates of the image point S'?

a)

(9, 9)

b)

(6, 6)

c)

(12, 12)

d)

(15, 15)

41.

Identify the center of dilation and the scale factor for the dilation that maps point T(2, 4) to T'(6, 12) on a coordinate plane.

a)

(0, 0), 2

b)

(4, 2), 3

c)

(0, 0), 3

d)

(2, 4), 2

42.

If point U(5, 7) is dilated by a scale factor of 1.5, what are the coordinates of the dilated point?

a)

(7.5, 10.5)

b)

(3, 5)

c)

(6, 8)

d)

(4.5, 6.5)

43.

Plot the point V(6, 9) on a coordinate plane. Then, dilate the point by a scale factor of 0.5. What are the new coordinates of the dilated point?

a)

(5, 8)

b)

(7, 10)

c)

(3, 4.5)

d)

(4, 7)

44.
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)
45.
A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?
a)
(5,3), (6,2), (1,-2)
b)
(6,0), (9,-3), (-6,-15)
c)
(2/3,0), (1,-1/3), (-2/3,-5/3)
d)
(-1,-3), (0,-4), (-5,-8)
46.
State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.
a)
(5,3)
b)
(20,12)
c)
(-20,-12)
d)
(-5,-3)
47.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
48.
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
a)
½
b)
¼
c)
4
d)
2
49.
Dilate Point B by a scale factor of 3:
a)
(12,0)
b)
(12,12)
c)
(4,3)
d)
(0,12)
50.
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
51.
Does the image show a dilation?
a)
Yes
b)
No
52.
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 k = 2.
a)
(2,4.5)
b)
(-8,-18)
c)
(8,18)
d)
(9,4)
53.

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)

54.

A rectangle has a base of 10 mm and a height of 6 mm, and we double the height, what is the new perimeter and area?

a)

Perimeter = 22 mm and Area = 120 mm

b)

Perimeter = 44 mm and Area = 120 mm

c)

Perimeter = 32 mm and Area = 240 mm

d)

Perimeter = 32 mm and Area = 240 mm

55.

A triangle has a perimeter of 16 cm and an area of 12 cm2. If the dimensions are doubled what is the new perimeter and area?

a)

P =32 cm and A = 24 cm2

b)

P = 32 cm and A = 48 cm2

c)

P = 24 cm and A = 24 cm2

d)

P = 24 cm and 48 cm2

56.

A pentagon has an area of 25 ft2, the sides are tripled what is the new area?

a)

A = 75 ft2

b)

100 ft2

c)

200 ft2

d)

225 ft 2

57.

When the dimensions of a figure are changed by a scale factor of 3, what happens to the perimeter?

a)

The perimeter will be multiplied by 3

b)

The perimeter will be 3 more than the preimage

c)

The perimeter will be multiplied by 9

d)

There is no way to know, we don't have the measurements

58.

The measurements of a hexagon are changed by a scale factor of 4, what will happen to the area?

a)

The area will be multiplied by a factor of 4

b)

The area will be multiplied by a factor of 8

c)

The area will be multiplied by a factor of 16

d)

We cannot determine the new area

59.
The red triangle has been dilated by a scale factor of 1/4 about the origin, which triangle is it's new image? 
a)
green triangle 
b)
red triangle 
c)
black triangle
d)
none of these 
60.
What scale factor was used to produce the image?
a)
2
b)
-2
c)
1/2
d)
1
61.

Which function was used to produce the image?

a)

f(x, y) = (1/7x, 1/7y)

b)

f(x, y) = (7x, 7y)

c)

f(x, y) = (4x, 4y)

d)

f(x, y) = (8x, 8y)

62.

What is the scale factor?

a)

k = 2

b)

k = 1/2

c)

k = 4

d)

k = 1/4

63.
If a dilation produces a congruent figure, then the scale factor was equal to _____.
a)
1/2
b)
2
c)
10
d)
1
64.
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)
65.

If an image is dilated by a scale factor below, the dilation is a...

k = 103k\ =\ \frac{10}{3}  

a)

Reduction

b)

Enlargement

66.

When the scale factor of a dilation is less than one, the dilation is a...

a)

Reduction

b)

Enlargement

67.

A dilation produces a similar figure

a)

True

b)

False

68.
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)
69.

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

a)
(0, 0)
b)

(1, -3)

c)

(-1, 3)

d)

(-1, -3)

70.
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)
71.
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)
72.

If you were to rotate ABCD 270 degree clockwise  about the origin, what would the coordinate of B' be?

a)

(6,5)

b)

(-5, 5)

c)

(5, 65

d)

(-5,-5)

73.

Rotate the point (-3,-4) around the origin 90 degrees clockwise. State the image of the point.

a)
(-4,-3)
b)
(-4,3)
c)
(4,-3)
d)
(3,4)
74.

Rotate the point (-3,-4) around the origin 360 degrees clockwise. State the image of the point.

a)
(-4,-3)
b)
(-4,3)
c)
(4,-3)
d)

(-3,-4)

75.

Rotate the point (3, -5) around the origin 90 degrees counterclockwise. State the image of the point.

a)

(5, 3)

b)

(-5, 3)

c)

(5,-3)

d)

(-3,-5)

76.

Rotate the point (-2, 1) around the origin 90 degrees counterclockwise. State the image of the point.

a)

(-1, 2)

b)

(-1, -2)

c)

(2, -1)

d)

(-2, 1)

77.

If (4,-2) → (4,-2) represents a counterclockwise rotation of the point on a coordinate plane, how many degrees is the rotation?

a)

90

b)

180

c)

270

d)

360

78.

If (3,2)→(-3,-2) represents a counterclockwise rotation of the point on a coordinate plane, how many degrees is the rotation?

a)

90

b)

180

c)

270

d)

360

79.

Triangle A is rotated 90° 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

80.
Triangle B is rotated 90° 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
81.
Triangle C 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
82.
Triangle D 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
83.
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
84.
Triangle C 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
85.

Rotations, like translations and reflections, produce congruent figures.

a)

true

b)

false

86.

Which quadrant is Point U located?

a)

quadrant 1

b)

quadrant 2

c)

quadrant 3

d)

quadrant 4

87.

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

88.

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

a)

translation

b)

reflection

c)

rotation

d)

dilation

89.

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

a)

rotation

b)

reflection

c)

translation

d)

dilation

90.

Which algebraic representation represents the transformation when a figure is rotated 90° clockwise?

a)

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

b)

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

c)

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

d)

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

91.

Select the Algebraic representation that matches the image

a)
b)
c)
d)
92.

Select the only two algebraic representations that can work for a reflection

a)
b)
c)
d)
93.

Reflect across x and (a)   stays the same.

94.

Reflect across y and (a)   stays the same

95.

Match the algebraic representation to the image. Remember the saying: Reflect across ___ and ___ stays the same.

a)
b)
c)
d)
96.

Match the algebraic representation to the image. Remember the saying: Reflect across ___ and ___ stays the same.

a)
b)
c)
d)
97.

In a translation the word RIGHT means:

a)

x+

b)

x-

c)

y+

d)

y-

98.

In a translation the word Down means:

a)

x+

b)

x-

c)

y+

d)

y-

99.

In a translation the word UP means:

a)

x+

b)

x-

c)

y+

d)

y-

100.

In a translation the word LEFT means:

a)

x+

b)

x-

c)

y+

d)

y-

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