State True/False:

Every parallelogram is a rectangle.

The above statement is False.

A parallelogram is defined as a quadrilateral in which both pairs of opposite sides are parallel and equal. The opposite angles of a parallelogram are equal.

So, in parallelogram ABCD,

• AB = DC and AD = BC
• ∠A = ∠C and ∠B = ∠D

A rectangle is defined as a quadrilateral in which both pairs of opposite sides are parallel and equal.

All the angles of a rectangle are 90^o.

So, in rectangle ABCD,

• AB = DC and AD = BC
• ∠A = ∠B = ∠C = ∠D = 90^o

In a parallelogram, all angles are not equal to 90 degrees.

Therefore, every parallelogram is not a rectangle.