Question

APQR has vertices at P(2,4), Q(3,8), and R(5,4). A dilation maps P'(5,2) and Q'(6,4). What is the scale factor of the dilation in the similarity transformation?

a) 1
b) 1.5
c) 2
d) 2.5

Answer 1

The scale factor of the dilation in the similarity transformation is 1/4.

Step-by-step explanation:

The scale factor of the dilation in the similarity transformation is 1/4. This means that the corresponding sides of the two figures are in a ratio of 1:4. In this case, we can see that the distance between P and Q is 4 units, and the distance between P' and Q' is 4 units as well, so the scale factor is 1:4.