Download Geometry -quadrilaterals - 4

GCSE Mathematics (1-9) 2015
How To Do it
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Geometry -quadrilaterals - 4
derive and apply the properties and definitions of: special types of quadrilaterals,
including square, rectangle, parallelogram, trapezium, kite and rhombus; and
triangles and other plane figures using appropriate language
1
Quadrilaterals
A four-sided polygon.
Interior angles add up to 360 (see R3)
Quadrilateral with special properties have names, like square rectangle, trapezium and so
on.
2
Rectangle
A rectangle with all interior angles 90.
Opposite sides are equal, and parallel.
3
Square
A rectangle with adjacent sides equal
4
Parallelogram
A quadrilateral with two pairs of parallel sides.
( A rectangle has two pairs of parallel sides, so it is a
parallelogram )
5
Trapezium
Take care - this word has different meanings in different
countries.
In the US a trapezium is a quadrilateral for no parallel
sides - an irregular quadrilateral.
In the UK, a trapezium has one pair of parallel sides.
GCSE Mathematics (1-9) 2015
6
How To Do it
Kite
This has two pairs of adjacent sides equal in length
The diagonals bisect each other and are perpendicular.
There are two pairs of isosceles triangles see below.
7
Rhombus
A rhombus is a a parallelogram with 4 equal sides.
Diagonals bisect each other and are perpendicular.
8
Triangles
An isosceles triangle has two equal sides. The angles opposite the
two sides are equal.
An equilateral triangle has three equal
sides, and three equal angles, each 60 degrees.
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