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Transformational Geometry

Total questions: 50

Worksheet time: 3hrs 30mins

Name
Class
Date
1.

Name the quadrant where POINT Y is located. 

a)

Quadrant I

b)

Quadrant Il

c)

Quadrant III

d)

Quadrant IV

2.
Name the quadrant where POINT B is located. 
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
Quadrant IV
3.
Where is point E located?
a)
( 2, 0 )
b)
( 2 , 2 )
c)
( 0 , 2 )
d)
( 0 , 0 )
4.

Which letter matches the coordinate (-5,6)?

a)

P

b)

Z

c)

K

d)

S

5.
Which letter matches the coordinate (0, -6)?
a)
O
b)
L
c)
i
d)
Z
6.

Which letter matches the coordinate (6,-3)?

a)

G

b)

J

c)

K

d)

Z

7.

The original figure in a transformation.

a)

Object

b)

Image

c)

Transformation

d)

Dilation

8.

A figure resulting from a transformation.

a)

Image

b)

Preimage

c)

Transformation

d)

Object

9.

A movement (slide) of a figure along a straight line.

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

10.

A transformation of a figure that flips the figure across a line.

a)

Reflection

b)

Translation

c)

Rotation

d)

Dilation

11.

A line that a figure is flipped across to create a mirror image of the original figure.

a)

Line of Reflection

b)

Line of Symmetry

c)

Congruent

d)

Coordinate Plane

12.

A line that divides a figure into two congruent reflected halves.

a)

Line of Symmetry

b)

Line of Reflection

c)

Center of Rotation

d)

Center of Dilation

13.

A transformation in which a figure is turned about a point.

a)

Rotation

b)

Reflection

c)

Dilation

d)

Transformation

14.

The point about which a figure is rotated.

a)

Center of Rotation

b)

Center of Dilation

c)

Reflection

d)

Rotation

15.

Figures with the same shape, but not necessarily the same size.

a)

Similar

b)

Congruent

c)

Dilation

d)

Coordiante

16.

Having the same size and shape; ≅.

a)

Congruent

b)

Similar

c)

Image

d)

Preimage

17.
A _______ is a transformation that enlarges or reduces a figure by a scale factor relative to a center point.
a)
Rotation
b)
Translation
c)
Dilation
d)
Reflection
18.

The ratio used to enlarge or reduce similar figures.

a)

Scale Factor

b)

Scale Drawing

c)

Transformation

d)

Congruent

19.
Describe the transformation shown in the graph.
a)

Translate 4 left and 1 up

b)

Translate 1 left and 4 up

c)

Rotate 180 degrees

d)

Reflect over the x-axis

20.

9

a)

A

b)

B

c)

C

d)

D

21.
Describe the transformation shown in the graph.
a)
Rotate 90 degrees CCW
b)
Translate 3 left and 4 down
c)
Translate 1 left and 2 down
d)
Reflect over y-axis
22.
Which of the following demonstrates a translation?
a)
A
b)
C
c)
B
d)
D
23.

Which is the rule for this transformation?

a)

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

b)

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

c)

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

d)

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

24.
Describe the transformation shown in the graph.
a)
Reflect over x-axis
b)
Reflect over y-axis
c)
Rotate 180 degrees
d)
Translate 4 units right
25.

What is the mirror line for this reflection?

a)

y-axis

b)

x=-3

c)

y=x

d)

x-axis

26.

What shape is the reflection from shape E in the x-axis?

a)

A

b)

B

c)

C

d)

D

27.

Which of the following shows a reflection over the x-axis?

a)

A

b)

B

c)

C

d)

D

28.
Describe the transformation shown on the graph.
a)

Reflect over x-axis

b)

Reflect over y-axis

c)

Rotate 180 degrees

d)

Translate 5 up, 2 right

29.
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
30.
Reflect over x-axis. Which point would be at (3, -6)
a)
A
b)
B
c)
C
d)
H
31.
Reflect the point (2, -4) over the y-axis.
a)
(-4, 2)
b)
(-2, 4)
c)
(-2, -4)
d)
(2, 4)
32.
Find K' if the figure is reflected across the x-axis
a)
(4, 1))
b)
(-1, -4)
c)
(1, -4)
d)
(1, 4)
33.
Reflect Point C over the y-axis:
a)
(-3, 2)
b)
(3,2)
c)
(-2,3)
d)
(3,0)
34.
∆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)
35.
Identify the transformation from A to D.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o Clockwise Rotation
d)
360o Rotation
36.
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
37.
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)
38.

Where would point C(9, -10) be located after a 180 degree rotation?

a)

C'(-9, 10)

b)

C'(-10, 9)

c)

C'(10, -9)

d)

C'(9, 10)

39.

If you were to rotate ABCD 90° clockwise about the origin, what would the coordinate of A' be?

a)

(-5, 3)

b)

(5,-3)

c)

(-3, 5)

d)

(3, -5)

40.
Describe the transformation shown in the graph.
a)
Reflect over x-axis
b)
Reflect over y-axis
c)
Rotate 180 degrees
d)
Rotate 270 degrees CCW
41.
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)
42.
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)
43.

Which of the following shows a dilation?

a)
b)
c)
d)
44.
An office supply store sells index cards in two different sizes. The large size is an enlargement of the small size. Both sizes are shown. Find the scale factor of the enlargement.
a)
2
b)
3
c)
4
d)
5
45.

What is the scale factor?

a)

k = 2

b)

k = 1/2

c)

k = 4

d)

k = 1/4

46.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
47.
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)
48.

Dilate Point C by a scale factor of 3:

a)

(12,0)

b)

(12,12)

c)

(1, 2/3)

d)

(9, 6)

49.
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
a)
½
b)
¼
c)
4
d)
2
50.
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)

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