8
QuizMultiple Choice

Properties of Parallelograms

Question 8 • Q5 Geometry New 2022

Which of the following statements is not always true?

Answer
A
In a parallelogram, the diagonals are congruent.
B
In a parallelogram, both pairs of opposite sides are parallel.
C
In a parallelogram, both pairs of opposite sides have the same length.
D
In a parallelogram, the diagonals bisect each other.

Explanation

A parallelogram always has two pairs of parallel opposite sides, equal lengths for each pair of opposite sides, and diagonals that bisect each other. Its diagonals are not always congruent: they are congruent in special cases such as rectangles, but not in every parallelogram. Therefore, the statement that is not always true is “In a parallelogram, the diagonals are congruent.”

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