Q. 34.8( 5 Votes )

Prove that a para

Answer :

We will prove by negation


i.e. If ABCD is a cyclic parallelogram then it is a rectangle


Proof:


A + C = 180° (ABCD is a cyclic quadrilateral) …(1)


Since A = C (Opposite angles of a parallelogram) …(2)



A + A = 180° (from (1) and (2))


2 A = 180°


A = 90°


Thus, ABCD is a rectangle.


That is a parallelogram which is not a rectangle is not cyclic.


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