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last edited by 12 years, 7 months ago

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.

### Here are more things to remember

•   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.

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!!!