Question

details
no additional details were added for this assignment.

which statement describes a parallelogram that must be a square?
a parallelogram with diagonals that are congruent and opposite sides that are congruent
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

Explanation:

• A parallelogram always has congruent opposite sides and bisecting diagonals, so options A and D describe all parallelograms, not just squares.
• A parallelogram with perpendicular diagonals is a rhombus, not necessarily a square.
• A parallelogram with congruent diagonals is a rectangle; when combined with perpendicular diagonals, it must be a square (a shape that is both a rectangle and a rhombus).

Answer:

A parallelogram with diagonals that are congruent and perpendicular