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• ### Nitesh

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February 13, 2024 at 12:56 pm
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A quadrilateral is a polygon with four sides and four vertices. The properties of a quadrilateral depend on its specific characteristics. Here are some common properties of quadrilaterals:

1. Sum of interior angles: The sum of the interior angles of any quadrilateral is always equal to 360 degrees. This means that if you add up all the angles inside a quadrilateral, the total will always be 360 degrees.

2. Exterior angles: The exterior angles of a quadrilateral are the angles formed by extending one side of the quadrilateral. The sum of the exterior angles is also equal to 360 degrees, just like the sum of the interior angles.

3. Diagonals: A diagonal of a quadrilateral is a line segment that connects two non-adjacent vertices. The number of diagonals in a quadrilateral depends on its shape. In some quadrilaterals, such as rectangles and parallelograms, the diagonals are congruent (have the same length) and bisect each other. In other quadrilaterals, such as general quadrilaterals or trapezoids, the diagonals may not have these properties.

4. Parallel sides: Some types of quadrilaterals have parallel sides. For example, a parallelogram has two pairs of opposite sides that are parallel. Other types of quadrilaterals, such as trapezoids or kites, may have only one pair of parallel sides.

5. Symmetry: Quadrilaterals can have different types of symmetry. A rectangle, for example, has two lines of symmetry, one vertical and one horizontal, which divide it into four congruent quarters. Other quadrilaterals, such as squares or rhombuses, may have additional lines of symmetry.

6. Special cases: There are several special types of quadrilaterals with additional properties. Some examples include squares (all sides are congruent and all angles are right angles), rectangles (opposite sides are congruent and all angles are right angles), rhombuses (all sides are congruent), and trapezoids (one pair of opposite sides is parallel).

These are some of the general properties of quadrilaterals, but it’s important to note that there are many different types of quadrilaterals, each with its own specific set of properties.

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