The coordinates of the vertices of each image are:
W' = (1 , 3) , X' = (4 , 2) , Y' = (1 , -3) , Z' = (-3 , 0) ⇒ C
Step-by-step explanation:
Let us revise the rotation about the origin
- If point (x , y) rotated about the origin by angle 90° counterclockwise, then its image is (-y , x)
- If point (x , y) rotated about the origin by angle 180° counterclockwise, then its image is (-x , -y)
- If point (x , y) rotated about the origin by angle 270° counterclockwise, then its image is (y , -x)
- If point (x , y) rotated about the origin by angle 90° clockwise, then its image is (y , -x)
- If point (x , y) rotated about the origin by angle 180° clockwise, then its image is (-x , -y)
- If point (x , y) rotated about the origin by angle 270° clockwise, then its image is (-y , x)
- There is no difference between rotating 180° clockwise or counterclockwise around the origin
∵ The vertices of the figure are W (-3 , 1) , X (-2 , 4) , Y (3 , 1) , Z (0 , -3)
∵ The figure is rotated 90° clockwise (270° counterclockwise)
about the origin
- Change the sign of the x-coordinate of each point and switch the
two coordinates as the 3rd or 4th rule above
∴ W' = (1 , 3) , X' = (4 , 2) , Y' = (1 , -3) , Z' = (-3 , 0)
The coordinates of the vertices of each image are:
W' = (1 , 3) , X' = (4 , 2) , Y' = (1 , -3) , Z' = (-3 , 0)
Learn more:
You can learn more about rotation in brainly.com/question/9720317
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