Question

which statement is not always true for a parallelogram?
a. consecutive angles are congruent.
b. opposite sides are congruent.
c. opposite angles are congruent.
d. diagonals bisect each other.

Explanation:

Step1: Recall parallelogram properties

In a parallelogram, opposite sides are equal in length (congruent), opposite angles are equal (congruent), and the diagonals bisect each other.

Step2: Analyze consecutive - angles property

Consecutive angles in a parallelogram are supplementary (add up to 180°), not congruent.

Answer:

A. Consecutive angles are congruent.