Quadrilaterals

A quadrilateral is a polygon with four sides, four vertices, and four angles. There are various types of quadrilaterals, each with its own unique properties and characteristics. Understanding these different kinds of quadrilaterals is essential in geometry.

**1. Rectangle:

• A rectangle is a quadrilateral with all interior angles measuring 90 degrees. Opposite sides are equal in length.

Example:

**2. Square:

• A square is a special type of rectangle where all sides are equal in length. All interior angles are right angles (90 degrees).

Example:

**3. Rhombus:

• A rhombus is a quadrilateral with all sides having equal length. Opposite angles are equal, but they are not necessarily right angles.

Example:

**4. Parallelogram:

• A parallelogram is a quadrilateral with opposite sides being parallel and equal in length. Opposite angles are also equal.

Example:

**5. Trapezoid:

• A trapezoid is a quadrilateral with one pair of parallel sides. The non-parallel sides may be equal or unequal in length.

Example:

**6. Kite:

• A kite is a quadrilateral with two pairs of adjacent sides that are equal in length. It typically has one pair of opposite angles that are equal.

Example:

**7. Isosceles Trapezoid:

• An isosceles trapezoid is a trapezoid with equal base angles. The non-parallel sides are equal in length.

Example:

These examples illustrate different types of quadrilaterals and their defining characteristics. Understanding the properties of quadrilaterals is crucial for solving geometric problems, especially those involving polygons and their relationships.