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
