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

Options

A. Opposite sides are equal
B. Opposite angles are equal
C. Opposite angles are bisected by the diagonals
D. Diagonals bisect each other

Explanation

To determine which statement is not true for a parallelogram, we will analyze each option one by one.

1. **Option a: Opposite sides are equal**
- In a parallelogram, by definition, opposite sides are both equal and parallel. Therefore, this statement is true.

2. **Option b: Opposite angles are equal**
- In a parallelogram, opposite angles are equal. This is a fundamental property of parallelograms. Thus, this statement is also true.

3. **Option c: Opposite angles are bisected by the diagonals**
- This statement is not true. While the diagonals of a parallelogram do bisect each other, they do not bisect the opposite angles. Therefore, this statement is false.

4. **Option d: Diagonals bisect each other**
- In a parallelogram, the diagonals do indeed bisect each other. This is another property of parallelograms, making this statement true.

After analyzing all the options, we conclude that the statement that is not true for a parallelogram is:

**Correct Answer: Option c - Opposite angles are bisected by the diagonals.**