Problema Solution

In ABC, AB = x, BC = y, and CA = 2x. A similarity transformation with a scale factor of 0.5 maps ABC to MNO, such that vertices M, N, and O correspond to A, B, and C, respectively. If OM = 5, what is AB?

Answer provided by our tutors

CA = 2x corresponds to OM = 5 and the scale factor is 0.5:


2x : 5 = 0.5


by solving we find:


x = 1.25


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AB = x


AB = 1.25