Parallelogram
A quadrilateral with two pairs of parallel opposite sides
A parallelogram is a four-sided polygon with two pairs of parallel sides. The opposite sides in parallelogram are equal in length and parallel to each other; this means, if one side is labeled as a and the opposite side is labeled as b, a is the same length as b. Additionally, opposite angles in a parallelogram have the same measure; this means, if one angle is labeled as x and the opposite angle is labeled as y, x is the same measure as y.
Some important properties of a parallelogram are:
1. Opposite sides of a parallelogram are equal in length.
2. Opposite angles of a parallelogram are equal in measure.
3. The diagonals of a parallelogram bisect each other, meaning that they intersect at a point that is the midpoint for each diagonal.
4. The diagonals of a parallelogram divide it into two congruent triangles.
5. The area of a parallelogram is given by the formula: base x height, where the base is any side of the parallelogram and the height is the length of the perpendicular segment drawn from the base to the opposite side.
There are different types of parallelograms, such as rectangle, square, rhombus, and kite. Each of these has additional properties based on the characteristics of their sides and angles.
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