Given: Quadrilateral PQRS is a rectangle. Prove: PR = QS

Given: Quadrilateral P QR S is a rectangle.

To prove : PR = Q S

Construction : Join PR and Q S.

Proof: In Rectangle PQRS, and

→ taking two triangles PSR and Δ QRS

1. PS = Q R

2. ∠ PS R = ∠ Q RS [Each being 90°]

3. S R is common.

→ ΔP SR ≅ Δ Q RS → [Side-Angle-Side Congruency]

∴ PR = Q S [ corresponding part of congruent triangles ]

Hence proved.