Parallelogram
A quadrilateral with 2 pairs of parallel sides
A parallelogram is a quadrilateral with two pairs of parallel sides. The parallel sides are known as bases, and the non-parallel sides are known as legs. The opposite angles of a parallelogram are equal, and the adjacent angles are supplementary (add up to 180 degrees). The area of a parallelogram can be found by multiplying the length of one of its bases by the height (distance between the bases), and the perimeter is equal to the sum of the four sides.
Properties of a parallelogram:
1. Two pairs of parallel sides
2. Opposite sides are equal in length
3. Opposite angles are equal in measure
4. Adjacent angles are supplementary (add up to 180 degrees)
5. Diagonals bisect each other (divide each other into equal parts)
Examples of parallelograms include rectangles, rhombuses, and squares, which all have additional properties and geometric relationships. A rectangle is a parallelogram with four right angles, a rhombus is a parallelogram with four equal sides, and a square is a parallelogram with four equal sides and four right angles.
In real-life applications, the parallelogram is commonly used in construction, architecture, and engineering for designing and constructing bridges, buildings, and other structures. It is also used in geometry and trigonometry to solve problems and calculate measurements.
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