Parallelogram
a quadrilateral with TWO PAIRS of parallel sides
A parallelogram is a type of quadrilateral where opposite sides are parallel and congruent to each other. This means that the opposite sides of a parallelogram have the same length and are parallel to each other. Additionally, the opposite angles of a parallelogram are congruent, meaning they have the same measure.
Some properties of parallelograms include:
1. Opposite sides are parallel and congruent
2. Opposite angles are congruent
3. Diagonals bisect each other
4. The sum of adjacent angles is 180 degrees
5. The area of a parallelogram is given by the formula A = base x height, where the base is one of the sides and the height is the perpendicular distance between the base and the opposite side.
There are several ways to prove that a quadrilateral is a parallelogram. One way is to show that opposite sides are parallel and congruent. Another way is to show that opposite angles are congruent. A third way is to show that the diagonals of the quadrilateral bisect each other.
Parallelograms are used in many areas of mathematics, including geometry and algebra. They are also used in engineering, architecture, and other fields where measurements and calculations are important.
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