Question 1

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

Accepted Answer

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

Question 2

Find the coordinates of the image for the given point under the translation defined by  (x,y) →(x+4,y−2)  (x, y)  \rightarrow(x+4, y-2)  (x,y) →(x+4,y−2)  
-(6, -7)

Accepted Answer

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

Question 3

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

Accepted Answer

A)  
B)  
C)  
D)

Question 4

Solve the problem.
-Find the equation of the line through  (0,−8) ( 0 , - 8 ) (0,−8)   and perpendicular to the line  y=−4x+4y = - 4 x + 4y=−4x+4 .

Accepted Answer

A)    y=14x+8y = \frac { 1 } { 4 } x + 8y=41​x+8 
B)    y=14x−8y = \frac { 1 } { 4 } x - 8y=41​x−8 
C)    y=−4x−8y = - 4 x - 8y=−4x−8 
D)    y=−14x−8y = - \frac { 1 } { 4 } x - 8y=−41​x−8

Question 5

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

Accepted Answer

A)  
B)  
C)  
D)

Question 6

Solve the problem.
-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.

Accepted Answer

A)  
B)  
C)  
D)

Question 7

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

Accepted Answer

A)  
B)  
C)  
D)

Question 8

Find the coordinates of the image for the given point under the translation defined by  (x,y) →(x+4,y−2)  (x, y)  \rightarrow(x+4, y-2)  (x,y) →(x+4,y−2)  
-( -2, 4)

Accepted Answer

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

Question 9

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

Accepted Answer

A)  
B)  
C)  
D)

Question 10

Find the coordinates of the image for the given point under the translation defined by  (x,y) →(x+4,y−2)  (x, y)  \rightarrow(x+4, y-2)  (x,y) →(x+4,y−2)  
-(3, 6)

Accepted Answer

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

Question 11

Solve the problem.
-Find the equation of the line through  (0,−8) ( 0 , - 8 ) (0,−8)   and perpendicular to the line  y=x+2y = x + 2y=x+2 .

Accepted Answer

A)    y=−x−8y = -x - 8y=−x−8 
B)    y=−x+8y = -x + 8y=−x+8 
C)    y=x−8y = x - 8y=x−8 
D)    y=x+8y = x + 8y=x+8

Question 12

Solve the problem.
-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.

Accepted Answer

A)  
B)  
C)  
D)

Question 13

Solve the problem.
-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.

Accepted Answer

A)  
B)  
C)  
D)

Question 14

Solve the problem.
-Find the equation of the image of the line  y=x+9y = x + 9y=x+9  when reflected in the  xxx -axis.

Accepted Answer

A)    y=−x−9y = - x - 9y=−x−9 
B)    y=x−9y = x - 9y=x−9 
C)    y=−x+9\mathrm { y } = - \mathrm { x } + 9y=−x+9 
D)    y=x+9y = x + 9y=x+9

Question 15

Find the coordinates of the image for the given point under the translation defined by  (x,y) →(x+4,y−2)  (x, y)  \rightarrow(x+4, y-2)  (x,y) →(x+4,y−2)  
-( -6, 7)

Accepted Answer

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

Question 16

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

Accepted Answer

A)  
B)  
C)  
D)

Question 17

Find the coordinates of the image for the given point under the translation defined by  (x,y) →(x+4,y−2)  (x, y)  \rightarrow(x+4, y-2)  (x,y) →(x+4,y−2)  
-(0, 6)

Accepted Answer

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

Question 18

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

Accepted Answer

A)  
B)  
C)  
D)

Question 19

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

Accepted Answer

A)    S\mathrm { S }S 
B)    PPP 
C)    QQQ 
D)    R\mathrm { R }R

Question 20

Solve the problem.
-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?

Accepted Answer

A)    BBB 
B)    SSS 
C)    QQQ 
D)    PPP

Exam 13: Congruence and Similarity With Transformations

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

Correct AnswerverifiedShow Answer

Find the coordinates of the image for the given point under the translation defined by (x,y) →(x+4,y−2) (x, y) \rightarrow(x+4, y-2) (x,y) →(x+4,y−2) -(6, -7)

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

Solve the problem. -Find the equation of the line through (0,−8) ( 0 , - 8 ) (0,−8) and perpendicular to the line y=−4x+4y = - 4 x + 4y=−4x+4 .

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

Solve the problem. -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.

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

Find the coordinates of the image for the given point under the translation defined by (x,y) →(x+4,y−2) (x, y) \rightarrow(x+4, y-2) (x,y) →(x+4,y−2) -( -2, 4)

Correct AnswerverifiedA

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

Correct AnswerverifiedShow Answer

Find the coordinates of the image for the given point under the translation defined by (x,y) →(x+4,y−2) (x, y) \rightarrow(x+4, y-2) (x,y) →(x+4,y−2) -(3, 6)

Correct AnswerverifiedShow Answer

Solve the problem. -Find the equation of the line through (0,−8) ( 0 , - 8 ) (0,−8) and perpendicular to the line y=x+2y = x + 2y=x+2 .

Correct AnswerverifiedShow Answer

Solve the problem. -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.

Correct AnswerverifiedShow Answer

Solve the problem. -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.

Correct AnswerverifiedShow Answer

Solve the problem. -Find the equation of the image of the line y=x+9y = x + 9y=x+9 when reflected in the xxx -axis.

Correct AnswerverifiedShow Answer

Find the coordinates of the image for the given point under the translation defined by (x,y) →(x+4,y−2) (x, y) \rightarrow(x+4, y-2) (x,y) →(x+4,y−2) -( -6, 7)

Correct AnswerverifiedD

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

Correct AnswerverifiedShow Answer

Find the coordinates of the image for the given point under the translation defined by (x,y) →(x+4,y−2) (x, y) \rightarrow(x+4, y-2) (x,y) →(x+4,y−2) -(0, 6)

Correct AnswerverifiedB

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

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

Solve the problem. -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?

Correct AnswerverifiedShow Answer

Correct Answer
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Find the coordinates of the image for the given point under the translation defined by $(x, y) \rightarrow(x+4, y-2)$ -(6, -7)

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Solve the problem. -Find the equation of the line through $( 0 , - 8 )$ and perpendicular to the line $y = - 4 x + 4$ .

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Find the coordinates of the image for the given point under the translation defined by $(x, y) \rightarrow(x+4, y-2)$ -( -2, 4)

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A

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Find the coordinates of the image for the given point under the translation defined by $(x, y) \rightarrow(x+4, y-2)$ -(3, 6)

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Solve the problem. -Find the equation of the line through $( 0 , - 8 )$ and perpendicular to the line $y = x + 2$ .

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Solve the problem. -Find the equation of the image of the line $y = x + 9$ when reflected in the $x$ -axis.

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Find the coordinates of the image for the given point under the translation defined by $(x, y) \rightarrow(x+4, y-2)$ -( -6, 7)

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D

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Find the coordinates of the image for the given point under the translation defined by $(x, y) \rightarrow(x+4, y-2)$ -(0, 6)

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B

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Solve the problem. -A figure and its image under a rotation are given. Which point of the grid is the center of rotation? $Solve the problem. -A figure and its image under a rotation are given. Which point of the grid is the center of rotation? A) \mathrm { S } B) P C) Q D) \mathrm { R }$

Correct Answer
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