Question

What must be the length of PQ in order for AJKL to be
similar PQR

Answer 1

18

Explanation:

The scale factor for this is 1.5,

JL = PR

JL is 14, and PR is 21, 14 * 1.5 = 21

KL = QR

KL is 6, and QR is 9, 6 * 1.5 = 9

So we do the same for JK and PQ

Since PQ is 12, we need to find what 12 * 1.5 is.

12 * 1.5 = 18

PQ = 18

Answer 2

9514 1404 393

Answer:

(d) 18

Explanation:

If ΔJKL ~ ΔPQR, then we must have ...

PQ/JK = QR/KL . . . . . ratios of corresponding sides are the same

PQ = JK×QR/KL = 12×9/6 = 2×9

PQ = 18