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A parallelogram is a quadrilateral with two pairs of parallel sides. Parallelograms can be divided into three main types: rectangles, rhombuses, and squares.
The following properties are true for all parallelograms.
| Property | Justification |
|---|---|
| The opposite sides are congruent | Parallelogram Opposite Sides Theorem |
| The opposite angles are congruent | Parallelogram Opposite Angles Theorem |
| The diagonals bisect each other | Parallelogram Diagonals Theorem |
These properties are illustrated graphically in the next diagram.