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# Conditions Which Guarantee a Parallelogram 1. A quadrilateral is a parallelogram if both pairs of opposite sides are congruent. 2. A quadrilateral is a parallelogram if both pairs of opposite angles are congruent. 3. A quadrilateral is a parallelogram if pairs of consecutive angles are supplement...

# Conditions Which Guarantee a Parallelogram 1. A quadrilateral is a parallelogram if both pairs of opposite sides are congruent. 2. A quadrilateral is a parallelogram if both pairs of opposite angles are congruent. 3. A quadrilateral is a parallelogram if pairs of consecutive angles are supplementary. 4. A quadrilateral is a parallelogram if the diagonals bisect each other. 5. A quadrilateral is a parallelogram if each diagonal divides a parallelogram into two congruent triangles. 6. A quadrilateral is a parallelogram if one pair of opposite sides are congruent and parallel. # Properties of a Parallelogram 1. In a parallelogram, any two opposite sides are congruent. 2. In a parallelogram, any two opposite angles are congruent. 3. In a parallelogram, any two consecutive angles are supplementary. 4. The diagonals of a parallelogram bisect each other. 5. A diagonal of a parallelogram forms two congruent triangles.