Question

Which of the following is not true for a parallelogram.

• A. opposite sides are equal
• B. opposite angles are bisect by the diagonals
• C. opposite angles are equal
• D. diagonals bisect each other

Answer 1

The correct option is B

opposite angles are bisect by the diagonals

Step 1: Explanation for correct option.

For option B : opposite angles are bisect by the diagonals

1. Parallelogram: A parallelogram is a special kind of quadrilateral that has both pairs of opposite sides parallel and equal.
2. Properties of Parallelogram:
3. The opposite sides of a parallelogram are equal.
4. The opposite angles of a parallelogram are equal.
5. The adjacent angles of a parallelogram are supplementary.
6. The diagonals of a parallelogram bisect each other.

Thus, opposite angles are bisected by the diagonals is not the property of a parallelogram.

So option B is correct

Step 2: Explanation for incorrect option.

For option (A): opposite sides are equal

Opposite sides of a parallelogram are equal is a property of a parallelogram.

So option A is incorrect

For option (C): opposite angles are equal

Opposite angles of a parallelogram are equal is a property of a parallelogram.

So option C is incorrect

For option (D): diagonals bisect each other

Diagonals of a parallelogram bisect each other is a property of a parallelogram.

So option D is incorrect

Hence, correct option is (B).