Question

all rectangles are parallelogram but all parallelograms are not rectangles.Give reasons for your answer​

Answer 1

yes, it is true that all rectangles are parallelogram but all parallelograms are not rectangles bcz

RECTANGLE HAVE ALL THE PROPERTIES OF PARALLELOGRAM SUCH AS

1) LENGTH OF OPPOSITE SIDE ARE EQUAL.

2) DIAGONALS ARE PERPENDICULAR BISECTOR OF EACH OTHER.

3) OPPOSITE ANGLES ARE EQUAL.

4) SUMMATION OF ALL ANGLES IS 360°.

PARALLELOGRAM AND RECTANGLE HAVE ALL ABOVE PROPERTIES COMMON.

BUT SOME PROPERTIES OF RECTANGLE DOESN'T FOLLWED BY PARALLELOGRAM SUCH AS.

i.e. 1) ALL ANGLES ARE 90°.

2) DIAGONALS ARE OF EQUAL LENGTH.

therefore, we can say that all rectangles are parallelogram but all parallelograms are not rectangles.