Polygon 3

Polygon ABCD is dilated, rotated, and translated to form polygon QWER. The endpoints A and B are at (0, -7) and (8, 8), and the endpoints QW are at (6, -6) and (2, 1.5). What is the scale factor of the dilation?

Correct answer:

k =  0.5

Step-by-step explanation:

A=(0,7) B=(8,8)  Q=(6,6) W=(2,1.5)  a=(AxBx)2+(AyBy)2=(08)2+((7)8)2=17 w=(QxWx)2+(QyWy)2=(62)2+((6)1.5)2=217=821=8.5  k=w/a=8.5/17=0.5

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