## quadrilateral

### a polygon with four sides

A quadrilateral is a four-sided polygon or shape formed by four straight lines. Quadrilaterals have four vertices (corners) and four angles.

There are many types of quadrilaterals, including:

1. Rectangle – a quadrilateral with four right angles, opposite sides are parallel, and opposite sides are equal in length.

2. Square – a special kind of rectangle where all sides are equal in length.

3. Rhombus – a quadrilateral with all four sides equal in length. The opposite angles are equal, but the adjacent angles are not.

4. Trapezoid – a quadrilateral with one pair of opposite sides parallel.

5. Parallelogram – a quadrilateral with opposite sides parallel and equal in length. The opposite angles are also equal.

Quadrilaterals have a variety of properties and formulas related to their sides, angles, and diagonals. For instance, the sum of the interior angles of any quadrilateral is always 360 degrees. The length of the diagonals can be found using the Pythagorean theorem. Understanding the properties and formulas of quadrilaterals is important in geometry and mathematical problem-solving.

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