Deck 13: Congruence and Similarity With Transformations

Question 1

Find the coordinates of the image for the given point under the translation defined by (x
(0, 4)

A)(4, 6)
B)( 4, 2)
C)( 4, 6)
D)(4, 2)

Answer 1

D

Question 2

Find the image of the given figure under the translation that takes P to P'.

Answer 2

A

Question 3

Find the coordinates of the image for the given point under the translation defined by (x
(3, 6)

A)( 1, 4)
B)(7, 4)
C)(7, 8)
D)( 1, 8)

Answer 3

B

Question 4

Find the image of the given figure under the translation that takes P to P'.

Question 5

Find the coordinates of the image for the given point under the translation defined by (x
(6, 3)

A)(2, 5)
B)(2, 1)
C)(10, 5)
D)(10, 1)

Question 6

Find the image of the given figure under the translation that takes P to P'.

Question 7

The image of a figure under the translation that takes P to P' is shown. Find the original figure. Note again, the given figure is the image after translation.

Question 8

Find the coordinates of the image for the given point under the translation defined by (x
(2, 4)

A)( 2, 6)
B)(6, 6)
C)( 6, 2)
D)(6, 2)

Question 9

Find the coordinates of the image for the given point under the translation defined by (x
( 6, 7)

A)( 8, 5)
B)( 8, 9)
C)( 2, 9)
D)( 2, 5)

Question 10

Find the coordinates of the image for the given point under the translation defined by (x
(4, 0)

A)(8, 2)
B)(0, 2)
C)(8, 2)
D)(0, 2)

Question 11

The image of a figure under the translation that takes P to P' is shown. Find the original figure. Note again, the given figure is the image after translation.

Question 12

Find the coordinates of the image for the given point under the translation defined by (x
( 2, 4)

A)(2, 2)
B)(2, 6)
C)(2, 2)
D)(6, 6)

Question 13

The image of a figure under the translation that takes P to P' is shown. Find the original figure. Note again, the given figure is the image after translation.

Question 14

Find the image of the given figure under the translation that takes P to P'.

Question 15

Find the coordinates of the image for the given point under the translation defined by (x
( 6, 7)

A)( 10, 9)
B)( 10, 5)
C)( 2, 5)
D)( 2, 9)

Question 16

Find the image of the given figure under the translation that takes P to P'.

Question 17

Find the coordinates of the image for the given point under the translation defined by (x
(6, 7)

A)(2, 5)
B)(10, 5)
C)(10, 9)
D)(2, 9)

Question 18

The image of a figure under the translation that takes P to P' is shown. Find the original figure. Note again, the given figure is the image after translation.

Question 19

Shown is the image of a figure under the two successive translations that take P to P' and then P' to P''. Find the original figure. Note again, the given figure is the image after translation. Hint: First
Find the final image of a point if it were translated by both translations. Then what happens in the
Reverse process?

Question 20

Find the coordinates of the image for the given point under the translation defined by (x
(0, 6)

A)(4, 8)
B)(4, 4)
C)( 4, 4)
D)( 4, 8)

Question 21

For the given point, find the coordinates of the image point under a half-turn about the origin.
(0, 2)

A)(0, 2)
B)( 2, 0)
C)(0, 0)
D)(2, 0)

Question 22

A rotation has sent A to A' and E to E'. Find the image of the given figure.

Question 23

If the given figure goes through a 90° clockwise rotation about P, followed by a 90° counterclockwise rotation of the resulting figure about Q, find the final image.

Question 24

Question 25

For the given point, find the coordinates of the image point under a half-turn about the origin.
(2, 3)

A)(3, 2)
B)(2, 3)
C)( 3, 2)
D)( 2, 3)

Question 26

For the given point, find the coordinates of the image point under a half-turn about the origin.
(2, 0)

A)(0, 2)
B)(0, 0)
C)( 2, 0)
D)(0, 2)

Question 27

Find the image of the given figure under a 90° clockwise rotation about P.

Question 28

Question 29

A rotation has sent A to A' and B to B'. Find the image of the given figure.

Question 30

A figure and its image under a rotation are given. Which point of the grid is the center of rotation?

Question 31

Find the image of the given figure under a 180° rotation about P.

Question 32

Find the image of the given figure under a 90° counterclockwise rotation about P.

Question 33

For the given point, find the coordinates of the image point under a half-turn about the origin.
( 2, 3)

A)( 3, 2)
B)(2, 3)
C)(2, 3)
D)(3, 2)

Question 34

For the given point, find the coordinates of the image point under a half-turn about the origin.
( 2, 3)

A)(2, 3)
B)( 2, 3)
C)(3, 2)
D)( 3, 2)

Question 35

Question 36

Question 37

Question 38

For the given point, find the coordinates of the image point under a half-turn about the origin.
(2, 3)

A)(3, 2)
B)( 3, 2)
C)( 2, 3)
D)(2, 3)

Question 39

The image of a figure is given for a rotation that takes A to A' and D to D'. Find the original figure. Note again, the given figure is the image after rotation.

Question 40

A figure ABCDEF and its image A'B'C'D'E'F' after a rotation are given. Which point of the grid is the center of rotation?

Question 41

Find the image of the given figure under the reflection that sends P to P'.

Question 42

A glide reflection is defined by the given slide arrow and the line of reflection m. Find the image of the given figure under this glide reflection.

Question 43

Find the image of the given figure under a reflection across the mirror line m.

Question 44

Find the figure that results from reflecting the given figure across the line m, and then reflecting the result across line n.

Question 45

Find the image of the given figure under a reflection across the mirror line m.

Question 46

Find the image of the given figure under a reflection across the mirror line m.

Question 47

Find the image of the given figure under the reflection that sends P to P'.

Question 48

Find the image of the given figure under a reflection across the mirror line m.

Question 49

Question 50

Question 51

Find the image of the given figure under the reflection that sends P to P'.

Question 52

Question 53

A glide reflection is defined by the given slide arrow and the line of reflection m. Find the image of the given figure under this glide reflection.

Question 54

Question 55

Find the image of the given figure under the reflection that sends P to P'.

Question 56

If the given figure goes through the reflection that sends P to P', followed by the reflection of the resulting figure that sends P' to P'', find the final image.