Question

If the parallelogram is cyclic,then it is a rectangle.Justify

Answer 1

Here's your answer!!



ABCD is a cyclic parallelogram.


We know that opposite side of parallelogram are equal.


So , <A = <C


Now, Since it's cyclic parallelogram so sum of Opposite sides are 180°


Therefore,


= <A + <C = 180°

= <A + <A = 180° (Since <A = <C)

= 2<A = 180°

= <A = 180/2

= <A = 90°


Hence,

ABCD is a parallelogram with one angel 90° .
So,It's a rectangle.


Hope it helps you!! ^^
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