Question

Which of the following statement is not correct about quadrilaterals ?
a) A quadrilateral is parallelogram if its diagonals do not bisect each other.
(b) Opposite sides of a parallelogram are equal.
(c) The angles of a rhombus are bisected by the diagonals.
(d) The diagonals of a rectangle are of equal measure.​

Answer 1

The answer is option a.

Answer 2

The statement "A quadrilateral is parallelogram if its diagonals do not bisect each other" is not correct about quadrilaterals.

• The diagonals of all quadrilaterals intersect each other at some point. A parallelogram is a quadrilateral too and hence, its diagonals also bisect each other.
• The opposite sides of a parallelogram are parallel as well as equal.
• When a diagonal of a rhombus is drawn, the opposite angles are bisected by the diagonals.
• The opposite sides of a rectangle are equal and parallel. Also, every angle between the adjacent sides of a rectangle is 90°. Thus, the diagonals of a rectangle are equal in length.