Question

18
m
24
p
x=25
------------------------------
2 decide whether jkl and pqr are similar.
j
6
k
4
l
8
p
9
q
6
r
12
a. yes, jkl and pqr are similar.
b. no, jkl and pqr are not similar.

Explanation:

Step1: Find side ratios

$\frac{JK}{PQ} = \frac{6}{9} = \frac{2}{3}$, $\frac{KL}{QR} = \frac{4}{6} = \frac{2}{3}$, $\frac{JL}{PR} = \frac{8}{12} = \frac{2}{3}$

Step2: Check similarity condition

All corresponding sides have equal ratios.

Answer:

a. Yes, JKL and PQR are similar.