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6th GEOMETRY:Quadrilaterals' Characteristics

Page history last edited by chunter@... 12 years, 7 months ago

 

 

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.

 

 

 

 

 

 

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.

 

 

 

 

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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