Question

A triangle with vertices at A(0,0), B(0,4), and C(6,0) is dilated to yield a triangle with vertices at A(0,0), B(0,10) and C(15,0). The origin is the center of dilation. What is the scale factor of the dilation?

A. 1.5
B. 2
C. 2.5
D. 3

Answer 1

The scale of dilation is 2.5

Explanation:

K · ( 0, 0 ) = ( 0 , 0 )

k · ( 0 , 4 ) = ( 0 , 10 )

k · ( 6, 0 ) = ( 15, 0 )

k = 15/6 = 10/4 = 2.5

The scale of dilation is 2.5