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A parallelogram has 2 sets of parallel sides. The opposite sides  are equal in length and opposite angles are equal. Examples of  parallelograms are squares, rectangles and â¦ rhombuses. You can find  the perimeter of a parallelogram by doubling the base+side length. 6 people found this useful.
1 Prove a quadrilateral is a parallelogram given congruent opposite angles. 2  Prove a quadrilateral is a parallelogram given that the diagonals bisect each other. 3  Prove a quadrilateral is a parallelogram if one pair of sides is both congruent and parallel.. Corresponding parts of congruent triangle are congruent. 9. is a parallelogram. 9. If two pairs of opposite sides of a quadrilateral are congruent, the figure is a parallelogram. So, given only the information that the diagonals bisect each other, you can prove that the shape is a parallelogram.