Question

If the domain (or pre-image) is (-4, -2), (5, 9), (-6, 2) and the range (or image) is (-2, 4), (9, -5), (2, 6), what rotation was applied?
Group of answer choices

A. 270 degrees clockwise
B. 180 degrees
C. 90 degrees counter-clockwise
D. 270 degrees counter-clockwise

Answer 1

Answer:

If the domain (or pre-image) is (-4, -2), (5, 9), (-6, 2) and the range (or image) is (-2, 4), (9, -5), (2, 6), what rotation was applied

C. 90 degrees counter-clockwise

Answer 2

Given :   the domain (or pre-image) is (-4, -2), (5, 9), (-6, 2) and the range (or image) is (-2, 4), (9, -5), (2, 6),  

To Find :  what rotation was applied?

A. 270 degrees clockwise

B. 180 degrees

C. 90 degrees counter-clockwise

D. 270 degrees counter-clockwise

Solution:

Pre image   Rotation Anticlockwise   Image

x , y                       90°                          -y , x

x , y                      180°                          -x , -y

x , y                      270°                          y ,  -x

Pre image   Rotation  clockwise   Image

x , y                      270°                          -y , x

x , y                      180°                          -x , -y

x , y                       90°                           y ,  -x

Pre image    image

(-4, -2)           (-2, 4)              (x , y)   to  ( y , - x)        

(5, 9)            (9, -5)              (x , y)   to  ( y , - x)        

(-6,  2)           ( 2, 6)              (x , y)   to  ( y , - x)        

Hence rotation is   270°  Anticlockwise ( counter clockwise)

or  90° clockwise

So correct option is D. 270 degrees counter-clockwise

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