Quadrilateral

Quadrilateral

A quadrilateral is a polygon with four edges (or sides) and four vertices or corners. Sometimes, the term quadrangle is used, by analogy with triangle, and sometimes tetragon for consistency with pentagon (5-sided), hexagon (6-sided) and so on.

Types of Quadrilaterals

There are various types of quadrilaterals, but the most common include the following:

• Square: A quadrilateral with all sides equal in length and all interior angles right angles.
• Rectangle: A quadrilateral with all interior angles right angles, but not all sides are equal.
• Rhombus: A quadrilateral with all sides equal in length, but not all angles are right angles.
• Parallelogram: A quadrilateral with opposite sides parallel and equal in length.
• Trapezoid: A quadrilateral with at least one pair of parallel sides.

Properties of Quadrilaterals

Quadrilaterals have several unique properties. The sum of the interior angles of any quadrilateral is 360 degrees. In a convex quadrilateral, the two diagonals intersect at a point and the sum of the products of the lengths of the two pairs of opposite sides equals the product of the lengths of the diagonals.

Quadrilaterals in the Real World

Quadrilaterals are commonly seen in everyday life. Examples include the shape of a kite, a square window, a rectangular door, a rhombus-shaped diamond, and a parallelogram-shaped paper.

See Also

• Polygon
• Triangle
• Pentagon
• Hexagon
• Heptagon
• Octagon

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