Question

question 23 of 40

which statement is not always true for a parallelogram?

a. opposite angles are congruent.
b. diagonals bisect each other.
c. opposite sides are congruent.
d. consecutive angles are congruent.

Explanation:

Analyze standard properties of a parallelogram

• Opposite angles are always congruent.
• Diagonals always bisect each other.
• Opposite sides are always congruent.

Analyze consecutive angles of a parallelogram

• Consecutive angles are supplementary (sum to \(180^\circ\)), not necessarily congruent.
• Consecutive angles are congruent only when the parallelogram is a rectangle or a square.

Identify the statement that is not always true

• Statement D is not always true for a general parallelogram.

Answer:

• A. Opposite angles are congruent.
• B. Diagonals bisect each other.
• C. Opposite sides are congruent.
• D. Consecutive angles are congruent. (Correct answer)