Question

select all of the conditions that prove that a quadrilateral is a parallelogram.
□ a) both pairs of opposite sides are congruent.
□ b) both pairs of opposite angles are congruent.
□ c) the diagonals bisect each other.
□ d) the diagonals are congruent.
□ e) the diagonals are perpendicular.
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Explanation:

These are standard, proven criteria for a quadrilateral to be a parallelogram. Congruent diagonals (D) and perpendicular diagonals (E) are properties of specific parallelograms (like rectangles or rhombuses) but not general conditions to prove any quadrilateral is a parallelogram.

Answer:

A) Both pairs of opposite sides are congruent.
B) Both pairs of opposite angles are congruent.
C) The diagonals bisect each other.