Question

PQR has vertices at P(2, 4), Q(3, 8), and R(5, 4). A dilation and series of translations map PQR to

ABC, whose vertices are A(2, 4), B(5.5, 18), and C(12.5, 4). What is the scale factor of the dilation in the similarity transformation?
a. 0.5
b. 1
c. 1.5
d. 2

Answer 1

The scale factor of the dilation in the similarity transformation is 4/7.

Step-by-step explanation:

To find the scale factor of the dilation, we can compare the corresponding side lengths of PQR and ABC. The side lengths are as follows:

PQ = 8, AB = 14, so the ratio is PQ/AB = 8/14 = 4/7.

Therefore, the scale factor of the dilation is 4/7.