Problema Solution
In AB, 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
let k = scale factor
by definition
scale factor = the length of the side after the transformation / the length of the side before the transformation
or
scale factor = image / original
in our case we can write
k = MN/AB = NO/BC = MO/AC
k = 0.5
AB = x
BC = y
CA = 2x
OM = 5
from k = OM/CA => OM = k*CA
5 = 0.5*2x
5 = x
x = 5
thus AB = 5.