__CHARACTERISTICS OF QUADRILATERALS__

__Square__

A square has **4 sides of equal length** and **4 right angles** **(right angle = 90 degrees)**.

Since ALL the angles in a quadrilateral add up to 360º then 360º divided by 4 must be 90º.

__Rhombus__

A Rhombus has **4 sides of equal length** and **opposite sides are parallel** **and** **angles are equal**.

(It looks like a square that is being pushed over). The arrows show parallel sides.

__Rectangle__

The rectangle (oblong) contains** 4 right angles** (an angle of 90˚).

It has got __2 pairs of equal sides__ and __4 right angles__

__Parallelogram__

A parallelogram is a rectangle that has been pushed over.

**Opposite sides are the** **same length**

and they are **parallel.**

__Trapezium__

Both of these are types of trapezium. Sometimes they might have 2 right angles.

**Each contains 4 sides and** **one pair of parallel sides.**

__Kite__

**A kite has **__two pairs of EQUAL sides__ next to each other.

None of the sides are parallel.

- All quadrilaterals have
**4** sides

- A square has got
**4 sides of equal length** and **4 right angles (right angle = 90 degrees)**.

- A Rhombus has got
**4 sides of equal length** and **opposite sides are parallel and angles are equal**.

- The rectangle (oblong) contains
**4 right angles** (an angle of 90˚). It has got **2 pairs of equal length sides**

- A parallelogram is a rectangle that has been pushed over. Opposite sides are the same length and they are parrallel.

- A trapezium as got one pair of parallel sides.

- A kite as got two pairs of sides next to each other that have equal length.

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**The QUADRILATERALS' "Family Tree"**

## Quadrilateral definitions are **inclusive**.

__Example:__ a square is also a rectangle.

So we **include** a square in the definition of a rectangle, BECAUSE ALL SQUARES HAVE 4 RIGHT ANGLES AS HAS ANY RECTANGLE.

This may seem odd because in daily life we think of a square as **not** being a rectangle ... but in mathematics it is.

Using the chart below you can answer such questions as:

- Is a Square a type of Rectangle? (Yes)
- Is a Rectangle a type of Kite? (No) TRY IT OUT!!!

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