Unlocking The Mysteries Of Parallelograms: Properties And Examples

Parallelogram

a quadrilateral whose opposite sides are parallel

A parallelogram is a quadrilateral (a four-sided polygon) that has two pairs of parallel sides. The opposite sides of a parallelogram are congruent (have the same length), and the opposite angles are also congruent (have the same measure).

Properties of a parallelogram:
– Opposite sides are parallel.
– Opposite sides are congruent.
– Opposite angles are congruent.
– Consecutive angles are supplementary (their sum is 180 degrees).
– Diagonals bisect each other.
– The area is given by the formula A = base x height, where the base is the length of one of the sides and the height is the perpendicular distance between the two parallel sides.

Examples of parallelograms include rectangles, squares, and rhombuses.

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