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*A parallelogram must be a rhombus if its diagonals*

*A parallelogram must be a rhombus if its diagonals*

March 4, 2018

A parallelogram must be a rhombus if its diagonals

(1) are congruent

(2) bisect each other

(3) do not bisect its angles

(4) are perpendicular to each other

Answer and Explanation:

A rhombus is a parallelogram with four congruent sides. However, this questions is asking us about diagonals. A parallelogram will be a rhombus if its diagonals bisect pairs of opposite angles, but not each other, making choice 2 wrong. Also, If a parallelogram is a rhombus, the diagonals are perpendicular, making choice 4, the correct answer choice.

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