KLMN and PQRS are similar trapezoids. which side of PQRS corresponds to LM

Question

asked Oct 20, 2020 108k views

2 Answers

Martao · Answer 1 · 2020-10-25T12:17:08+0000

Answer:

QR corresponds to LM

Explanation:

Two figures are said to be similar if they have same shape but not necessarily same size.

Two polygons are said to be similar if their corresponding angles are equal and corresponding sides are proportional .

A trapezoid is a polygon in which a pair of sides is parallel .

Here, two trapezoids are given i.e KLMN, PQRS.

As KLMN and PQRS are similar, so their angles are equal i.e

$\angle K=\angle P\,,\,\angle L=\angle Q\,,\,\angle M=\angle R\,,\,\angle N=\angle S$

Also, corresponding sides are proportional i.e

(KL)/(PQ)=(LM)/(QR)=(MN)/(RS)=(KN)/(PS)

Therefore, side QR corresponds to LM.