## Definition: a quadrilateral with opposite sides parallel and opposite sides congruent Example: square, rectangle, rhombus

### A quadrilateral is a polygon with four sides

A quadrilateral is a polygon with four sides. When a quadrilateral has opposite sides that are parallel (meaning they will never intersect) and opposite sides that are congruent (meaning they have the same length), it is classified as a special type of quadrilateral.

There are three common examples of quadrilaterals that fit this description:

1. Square: A square is a quadrilateral with all four sides congruent and all four angles equal to 90 degrees. It is a symmetrical shape, with opposite sides parallel to each other. Squares are often associated with concepts like equality, stability, and balance.

2. Rectangle: A rectangle is a quadrilateral with opposite sides parallel and congruent. It also has all four angles equal to 90 degrees. However, in a rectangle, the adjacent sides are not necessarily congruent. Rectangles are commonly found in everyday objects such as doors, windows, and frames.

3. Rhombus: A rhombus is a quadrilateral with opposite sides parallel and congruent. However, unlike a square or rectangle, a rhombus does not have right angles. Instead, all of its sides are congruent, but its angles may vary. Rhombi are often associated with symmetry, elegance, and balance.

These quadrilaterals have unique properties and characteristics. For example, squares have the maximum area for a given perimeter, rectangles have diagonals that are equal in length, and rhombi have diagonals that are perpendicular bisectors of each other.

Understanding the properties and characteristics of these quadrilaterals is essential in geometry and various real-life applications, such as architecture, engineering, and design.

##### More Answers:

Understanding Shape Covering | Definition and Examples in MathematicsUnderstanding Congruent Objects in Mathematics and Their Significance in Geometry

Understanding Parallelograms | A Special Type of Quadrilateral with Parallel and Congruent Sides