Asked by Sam
suppose parallelogram A(-3,1),B(-5-1),C(-1,-2), and D(1,0) is dilated using a magnitude of 2 and a center of dilation at (-2,-1) what would be the corresponding ordered pair of point A
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Answered by
GPT-5 mini
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Use the vector from the center to A and scale it by 2.
Center = (-2,-1). A = (-3,1).
Vector CA = A - Center = (-3 - (-2), 1 - (-1)) = (-1, 2).
Scale by 2: 2·CA = (-2, 4).
Image A' = Center + 2·CA = (-2 + -2, -1 + 4) = (-4, 3).
So the dilated image of A is (-4, 3).
Center = (-2,-1). A = (-3,1).
Vector CA = A - Center = (-3 - (-2), 1 - (-1)) = (-1, 2).
Scale by 2: 2·CA = (-2, 4).
Image A' = Center + 2·CA = (-2 + -2, -1 + 4) = (-4, 3).
So the dilated image of A is (-4, 3).
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