which of the following is not a characteristic of all parallelograms ?
To determine which of the following is not a characteristic of all parallelograms, we need to identify the characteristics of a parallelogram first. A parallelogram is a quadrilateral (a four-sided polygon) with the following properties:
1. Opposite sides are parallel: This means that if we extend the opposite sides of a parallelogram, they will never intersect.
2. Opposite sides are congruent: This means that the length of one pair of opposite sides is equal to the length of the other pair of opposite sides.
3. Opposite angles are congruent: This means that the measure of one pair of opposite angles is equal to the measure of the other pair of opposite angles.
4. Consecutive angles are supplementary: This means that the sum of the measures of two consecutive angles in a parallelogram is always 180 degrees.
Now, let's evaluate the given options to find the characteristic that does not apply to all parallelograms.