Which statement describes a parallelogram that must be a square? A parallelogram with perpendicular diagonals. A parallelogram with diagonals that are congruent and perpendicular. A parallelogram with diagonals that bisect each other and opposite sides that are congruent. A parallelogram with diagonals that are congruent and opposite sides that are congruent.

Question

Mathematics

Ernie

9 March, 14:26

Which statement describes a parallelogram that must be a square? A parallelogram with perpendicular diagonals. A parallelogram with diagonals that are congruent and perpendicular. A parallelogram with diagonals that bisect each other and opposite sides that are congruent. A parallelogram with diagonals that are congruent and opposite sides that are congruent.

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Answers (1)

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Stevens · Answer 1

A parallelogram with diagonals that are congruent and opposite sides that are congruent.

Step-by-step explanation:

A square is defined as having all sides equal, and its interior angles all right angles (90°). From this it follows that the opposite sides are also parallel.