Which of the following is not true for a parallelogram?
a. opposite sides are equal
b. opposite angles are equal
c. opposite angles are bisected by the diagonals
d. diagonals bisect each other.

Solution:

Consider a parallelogram

So the properties of a parallelogram are

a. The opposite sides of a parallelogram are parallel.

b. The opposite sides of a parallelogram are equal.

c. The opposite angles of a parallelogram are equal.

d. The diagonals of a parallelogram bisect each other.

e. Same-side interior angles supplement each other.

f. The diagonals divide the parallelogram into two congruent triangles.

Therefore, the statement “opposite angles are bisected by the diagonals” is false.

✦ Try This: The figure formed by joining the mid-points of the sides of a quadrilateral PQRS, taken in order, is a square only if,
a. PQRS is a rhombus
b. diagonals of PQRS are equal
c. diagonals of PQRS are equal and perpendicular
d. diagonals of PQRS are perpendicular.

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 8

NCERT Exemplar Class 9 Maths Exercise 8.1 Problem 13

Which of the following is not true for a parallelogram? ,a. opposite sides are equal, b. opposite angles are equal, c. opposite angles are bisected by the diagonals, d. diagonals bisect each other

Summary:

A parallelogram is defined as a quadrilateral in which both pairs of opposite sides are parallel and equal. The statement “opposite angles are bisected by the diagonals” is false

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