Question

A coordinate plane is shown. Triangle PQR has vertices P at negative 6 comma 6, Q at negative 6 comma 3, and R at negative 3 comma 3. Triangle P prime Q prime R prime has vertices at P prime negative 2 comma 2, Q prime at negative 2 comma 1, and R prime at negative 1 comma 1. What is the scale factor of dilation?

Answer 1

The scale factor of dilation is 1/3

Step-by-step explanation:

The scale factor of dilation can be found by comparing the corresponding side lengths of the two triangles. In this case, PQ and P'Q' are corresponding sides. The length of PQ is 3 units and the length of P'Q' is 1 unit. To find the scale factor, we divide the length of P'Q' by the length of PQ.

Scale factor = P'Q' / PQ = 1 / 3

Therefore, the scale factor of dilation is 1/3.