Parallelogram
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A parallelogram is a quadrilateral in which both pairs of opposite sides are parallel. Its properties include:
- Opposite sides are parallel.
- Opposite sides are congruent.
- Opposite angles are congruent.
- Consecutive angles are supplementary.
- Each diagonal divides the figure into 2 congruent triangles.
- Both diagonals together divide the figure into 2 pairs of congruent triangles. All 4 triangles have an equal area.
Common Parallelograms
Formula for the Area of a Parallelogram
The area of a parallelogram is as follows:
where is the area of the parallelogram, and and are the base and height of the parallelogram, respectively.