Question

If ΔP′QR′ is a dilated image of ΔPQR, find the scale factor (k) and then find the value of x. answers: A) 7 B) 10.7 C) 6 D) 73.5

Answer 1

see explanation

Explanation:

To find k, calculate the ratio of corresponding sides, image to original, that is

k =
`(P'R')/(PR)` =
`(8)/(28)` =
`(2)/(7)`

Thus

QR' =
`(2)/(7)` × QR =
`(2)/(7)` × 21 = 2 × 3 = 6 , that is

x = 6 → C