Question

Every parallelogram is a rhombus.State with reasons whether the given statement are ‘true’ or ‘false’.

Answer 1

False,

Because a rhombus has all sides equal but it is not necessary that a parallelogram also has all sides equal.

For example :-

A rectangle is a parallelogram but its all sides are not equal i.e it is not a rhombus.

Answer 2

Given ,

" Every parallelogram is a Rhombus."

( False ).

Reason :

" If in a parallelogram adjacent sides

are equal then it is a Rhombus. "

So ,

Every parallelogram is not a Rhombus.

But

Every rhombus is a parallelogram .

••••