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

Mathematics

1 answer:

lord [1]3 years ago

6 0

Answer:

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.

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