# geometry

the endpoints of AB are A(9,4) and B(5,-4) the endpoints of its image after a dilation are A1(6,3) and B1(3,-3) explain how to find the scale factor.
Is there someone that can help me with this problem and explain foe me?

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1. Since dilation is linear, if we extend the lines A-A1 and B-B1 to their intersection, we find that the center of dilation is

C = (-27/7,-3/5)

So,
CA = 13.66
CA1 = 10.49
scale = 10.49/13.66 = 0.76

check to make sure that B->B1 is dilated by the same amount:

CB = 9.49
CB1 = 7.26
scale = 7.26/9.49 = 0.76

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