Graph the image of this figure after a dilation with a scale factor of 1/2 centered at the point (2, 2) .
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Answer:
(1, 3), (0, 6) and (-2, 5)
Step-by-step explanation:
First we will translate the image 2 left and 2 down to account for moving the center of dilation (2, 2) away from the origin:
(0, 4)→(-2, 2)
(-2, 10)→(-4, 8)
(-6, 8)→(-8, 6)
Next we apply the scale factor of 1/2:
(-2, 2)→(-1, 1)
(-4, 8)→(-2, 4)
(-8, 6)→(-4, 3)
Lastly we translate the figure back 2 right and 2 up:
(-1, 1)→(1, 3)
(-2, 4)→(0, 6)
(-4, 3)→(-2, 5)