All rectangles are parallelograms, but all parallelograms are not rectangles. Justify this statement.

The Criteria required for a quadrilateral to become Rectangle is:

⇒ The Lengths of opposite sides are to be equal.

⇒ The opposite sides are to be parallel.

⇒ The adjacent angles are need to be supplementary.

⇒ The sides are to be perpendicular to each other.

⇒ The diagonals bisect each other.

⇒ Each diagonal bisects the Rectangle into congruent triangles.

The criteria required for a quadrilateral to become Parallelogram is:

⇒ The lengths of opposite sides are to be equal.

⇒ The opposite sides need to be parallel.

⇒ The adjacent angles are need to be supplementary.

⇒ The diagonals bisect each other.

⇒ Each diagonal bisects the Parallelogram into congruent triangles.

⇒ The angles of the opposite vertices are needed to be equal.

From the above statements, we can clearly say that the rectangle satisfies the requires criteria of Parallelogram.

But, the parallelogram doesn’t satisfy the criteria of sides to be perpendicular.

So, from these, we can conclude that All Rectangles are parallelograms, but all parallelograms are not rectangles.