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Which of the following is not a property...

Which of the following is not a property of a parallelogram?

A

The opposite sides are parallel

B

The consecutive angles are supplementary.

C

The two diagonals bisect at right angles.

D

none of these

Text Solution

AI Generated Solution

The correct Answer is:
To determine which of the following is not a property of a parallelogram, we first need to understand the properties of a parallelogram. ### Step-by-Step Solution: 1. **Identify the Properties of a Parallelogram**: - Opposite sides are equal in length. - Opposite angles are equal. - Consecutive angles are supplementary (i.e., they add up to 180 degrees). - The diagonals bisect each other. 2. **List the Given Options**: - Let's assume the options provided are: 1. Opposite sides are equal. 2. Opposite angles are equal. 3. Consecutive angles are supplementary. 4. The diagonals bisect each other at right angles. 3. **Analyze Each Option**: - **Option 1**: Opposite sides are equal. (This is a property of a parallelogram.) - **Option 2**: Opposite angles are equal. (This is also a property of a parallelogram.) - **Option 3**: Consecutive angles are supplementary. (This is a property of a parallelogram.) - **Option 4**: The diagonals bisect each other at right angles. (This is not a property of all parallelograms; it is true for rectangles and squares but not for all parallelograms.) 4. **Conclusion**: - The option that is not a property of a parallelogram is **Option 4**: The diagonals bisect each other at right angles. ### Final Answer: The option that is not a property of a parallelogram is **Option 4**.
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