Question

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

Answer 1

@Eli_Moses

Answer 2

10

Answer 3

no
remember that the scale factor is 0.5 so figure 1 is dilated by 0.5 to create figure 2

Answer 4

so it d be 5

Answer 5

yea
try it out before you put it

Answer 6

ok so it is 5 correct

Answer 7

@Eli_Moses

Answer 8

yea

Answer 9

AC maps to MO. Since we're applying a scale factor of 0.5, this means


MO = 0.5*AC
MO = 0.5*2x
5 = 0.5*2x
5 = x
x = 5


So that's why AB = 5

Answer 10

ok great