# 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?

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

posted by Steve

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