Quadrilateral
Quadrilateral
A Quadrilateral (pronounced: kwah-dri-lat-er-al) is a polygon with four edges (or sides) and four vertices or corners. Sometimes, it is called a tetragon or a 4-gon. The word is derived from the Latin words quadri, a variant of four, and latus, meaning "side".
Quadrilaterals are simple (not self-intersecting) or complex (self-intersecting), also called crossed. Simple quadrilaterals are either convex or concave.
Types of Quadrilaterals
There are several special types of quadrilaterals, each with their own unique properties. These include:
- Square: A quadrilateral with all sides equal in length and all interior angles 90 degrees.
- Rectangle: A quadrilateral with all interior angles 90 degrees.
- Rhombus: A quadrilateral with all sides equal in length.
- Parallelogram: A quadrilateral with opposite sides parallel and equal in length.
- Trapezoid: A quadrilateral with at least one pair of parallel sides.
- Kite: A quadrilateral with two pairs of adjacent sides equal in length.
Properties of Quadrilaterals
The sum of the interior angles in any quadrilateral is 360 degrees. This is a result of the quadrilateral being composed of two triangles, each of which has angle sums of 180 degrees.
In a cyclic quadrilateral, opposite angles add up to 180 degrees. A cyclic quadrilateral is one where all four vertices lie on a single circle.
Related Terms
- Polygon: A plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain or polygonal circuit.
- Vertex: The point where two or more lines meet.
- Edge: A line segment joining two vertices.
- Angle: The space between two intersecting lines or surfaces at or close to the point where they meet.
External links
- Medical encyclopedia article on Quadrilateral
- Wikipedia's article - Quadrilateral
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