Understanding Quadrilaterals | Types, Properties, and Characteristics

Quadrilateral

A quadrilateral is a polygon with four sides

A quadrilateral is a polygon with four sides. It is a two-dimensional shape that has four vertices (corners) and four angles. The sum of the interior angles of a quadrilateral is always 360 degrees.

There are several types of quadrilaterals based on their properties:
1. Rectangle: A rectangle is a quadrilateral with four right angles (90 degrees) and opposite sides that are parallel and equal in length.
2. Square: A square is a special type of rectangle where all four sides are equal in length and all four angles are right angles.
3. Parallelogram: A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length. The opposite angles of a parallelogram are also equal.
4. Rhombus: A rhombus is a parallelogram with four sides that are equal in length. It has opposite angles that are equal, but they are not necessarily right angles.
5. Trapezoid: A trapezoid is a quadrilateral with one pair of opposite sides that are parallel. The other pair of sides are not parallel.
6. Kite: A kite is a quadrilateral with two pairs of adjacent sides that are equal in length. It has one pair of opposite angles that are equal.

It is important to note that some quadrilaterals can fall into multiple categories. For example, a square is both a rectangle and a rhombus because it has the properties of both. Understanding the properties and characteristics of different types of quadrilaterals can help in solving problems related to their angles, side lengths, and symmetries.

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