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Related websites for **Quadrilaterals**

This Venn diagram helps to visualize the relationships among the different **Quadrilaterals.**

- General quadrilaterals

- Trapezoids

- Parallelograms

A **trapezoid** is a quadrilateral based on its four sides, but has only one pair of parallel sides which eliminates it from being a parallelogram.

A **kite** is a quadrilateral, but not a parallelogram because the opposite sides are not parallel or congruent.

Parallelogram

- Two parallel sides

- Opposite sides equal length

- Opposite angles equal

Rectangle

- 4 right angles

- Opposite sides are parallel and equal length

Rhombus

- Opposite angles are equal

- Sides equal length

- Opposite sides are parallel

- No right angles

- Diagonals intersect at right angles

Square

- 4 right angles

- 4 equal sides

Trapezoid

- Only one pair of opposite sides that are parallel

- Parallel sides are called bases

- Nonparallel sides are called legs

• Four Sided

• Closed figure

• Four vertices ( also known as corners)

• Interior angles add up to 360◦

• Straight sides, no curves

Kite

- Sides of a kite shape, that are next to each other (adjacent sides) are the same length on a kite.

- Angles that are opposite each other and between the two different length sides are congruent (equal).

- Diagonals of a kite are perpendicular to one another

What is a quadrilateral? The key to a **quadrilateral** is found in it's name, " Quad" meaning four and " lateral" meaning side. So a quadrilateral is a four sided polygon. In addition a quadrilateral can be convex or concave. A **concave **quadrilateral has has one reflex angle, or an angle greater than 180 degrees. The reflex angle creates a cavity or a cave, which becomes an easy method to remember a **concave** quadrilateral. An example of a concave quadrilateral is a **dart. **A “**complex quadrilateral**” or “**self-intersecting**” quadrilateral have non-adjacent sides that cross over.