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# 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

**☛ Related Questions:**

- The figure obtained by joining the mid-points of the sides of a rhombus, taken in order, is ,a. a rh . . . .
- D and E are the mid-points of the sides AB and AC of ∆ABC and O is any point on side BC. O is joined . . . .
- The figure formed by joining the mid-points of the sides of a quadrilateral ABCD, taken in order, is . . . .

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