Question

question
quadrilateral hjk is similar to quadrilateral l mno. find the measure of side oj. round your answer to the nearest tenth if necessary.
answer attempt 1 out of 2
21

Explanation:

Step1: Identify corresponding sides

Quadrilateral HIJK ~ LMNO. Side HI (length 10) corresponds to LM (length 15); side JK (length 7) corresponds to NO (length 9). Wait, no—correction: For similar figures, ratio of corresponding sides is equal. Assume HI corresponds to LM, IJ to MN, JK to NO, KH to OL. So ratio $r = \frac{LM}{HI} = \frac{15}{10} = 1.5$.

Step2: Find OL (corresponding to KH)

KH = 7, so OL = KH × r = 7 × 1.5 = 10.5.

Answer:

10.5