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CBSE Class 9 Answered

Prove that the angle bisectors of a parallelogram form a rectangle.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
answered-by-expert Expert Answer

To prove : PQRS is a rectangle

Proof : Since ABCD is a parallelogram

A + B = 180o [angles on the same side of transversal]

But in ABS, by angle sum property

ASB = 90o

RSP = 90o [ASB = RSP vert. opp. Angles]

Similarly SRQ = 90o , RQP = 90o, and SPQ = 90o

Hence PQRS is a rectangle.

Answered by | 04 Jun, 2014, 03:23: PM

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