Question

Given: LPQN is a Rectangle, PM = QM Prove: LM = MN

Answer 1

Answer:

The Proof is given below.

Step-by-step explanation:

Given:

LPQN is a Rectangle

PM = QM

To Prove:

LM = MN

Proof:

In  ΔLPM  and Δ NQM

LP ≅ NQ              ……{ Opposite sides of a Rectangle are congruent }  

∠L ≅ ∠N =90°     ……{ Measure of each vertex angle of rectangle are 90° }

PM ≅ QM            ……{ Given }  

ΔLPM ≅ ΔNQM  …....{ By Hypotenuse Leg congruence test }

∴ LM ≅ MN    ......{corresponding parts of congruent triangle }....Proved