Question

Adnan wants a larger garden. He draws PQR to show his original garden. He wants to enlarge the garden, so he uses a dilation to form the image PQ' R'. He uses vertex P as the center of dilation.

Answer 1

Step-by-step explanation

We are first told to write a fraction for each of the sides

a)

(PQ'/PQ) = (12/8) = (3/2)

(Q'R'/QR) = (15/10) = (3/2)

(PR'/PR) = (9/6) = (3/2)

b) The ratio from (a) show that the dimensions of PQ'R' are (3/2) that of the old garden PQR. Since (3/2) = 1.5, we can see that the scale factore for the enlargement is 1.5 or (3/2).

c) Since