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Using opposite angles test for parallelogram, prove that every rectangle is a parallelogram.Given: □ABCD is a rectangle.To prove: Rectangle ABCD is a parallelogram.

Answer»

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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