1.

Using opposite angles test for parallelogram, prove that every rectangle is a parallelogram.

Answer»

Given: ABCD is a rectangle. 

To prove: Rectangle ABCD is a parallelogram. 

Proof: 

ABCD is a rectangle. 

∴ ∠A ≅ ∠C = 90° [Given] 

∠B ≅ ∠D = 90° [Angles of a rectangle] 

∴ Rectangle ABCD is a parallelogram. [A quadrilateral is a parallelogram, if pairs of its opposite angles are congruent]



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