Question

Which of the following is not always 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.

Answer 1

Answer: (C)

Opposite angles are bisected by the diagonals.

Opposite angles are bisected by the diagonals.

The above statement is not true for every parallelogram.

It is true only for a rhombus (diamond) or square where the diagonals bisect the opposite angles they connect, and diagonals are perpendicular. In rectangles, the diagonals do not bisect the angles and are not perpendicular, but they do bisect each other.

Hence, option C.