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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