Question

Quadrilateral JKLM is similar to quadrilateral NOPQ. Find the measure of side OP. Round your answer to the nearest tenth if necessary.

11,23, and 49 are the numbers

Answer 1

I’m missing which side length is which. Which of the three numbers (11, 23, 49) equals which side? Also confirm the correspondence of vertices (usually J↔N, K↔O, L↔P, M↔Q), since that determines which side corresponds to OP.

If we assume the usual correspondence J↔N, K↔O, L↔P, M↔Q, then OP corresponds to KL and JK corresponds to NO. So the scale factor from JKLM to NOPQ is NO/JK, and
OP = KL * (NO/JK).

Two common interpretations:

- If JK = 11, KL = 23, NO = 49, then OP = 23*(49/11) = 1127/11 ≈ 102.5.
- If JK = 49, KL = 23, NO = 11, then OP = 23*(11/49) = 253/49 ≈ 5.2.

Tell me which number is which side (or confirm the intended mapping) and I’ll give the exact answer.