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Polygon ABCD is dilated by a scale factor of 2 with the center of dilation at the origin to create polygon A′B′C′D′. If the endpoints of line segment AB are located at (0, -7) and (8, 8), what is the length of line segment A'B' ? Use the distance formula to help you decide: PLEASE HELP!!!

Answer :

Answer:

34

Step-by-step explanation:

A = (0, -7)

A' = (0, -14)

B = (8, 8)

B' = (16, 16)

Distance formula = [tex]\sqrt{({x_{2}- x_{1}})^{2} + ({y_{2}- y_{1}})^{2}}[/tex]

= [tex]\sqrt{16^{2} + 30^2}[/tex]

= [tex]\sqrt{1156}[/tex]

= 34

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