Maharashtra State BoardSSC (English Medium) 9th Standard
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Using Opposite Angles Test for Parallelogram, Prove that Every Rectangle is a Parallelogram. - Geometry

Sum

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

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Solution

Let ABCD be a rectangle. 

∠A = ∠B = ∠C = ∠D = 90°.

For any quadrilateral to be a parallelogram, pair of opposite angles should be congruent. 
In rectangle ABCD, 

∠A = ∠C = 90°

∠B = ∠D = 90°

Thus , rectangle ABCD is a parallelogram.

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APPEARS IN

Balbharati Mathematics 2 Geometry 9th Standard Maharashtra State Board
Chapter 5 Quadrilaterals
Practice Set 5.2 | Q 2 | Page 67
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