properties ofQuadrilaterals

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A Quadrilateral is a four sided shape which can be
made from 2 triangles
A
The angles add up
to 2 X 180 = 360º
D
B
A + B + C + D =360
The area =sum of the areas
of the two triangles
C
It fits inside a
circle
The following quadrilaterals have properties
which make them special
square
parallelogram
rectangle
rhombus
Isosceles
Trapezium
with symmetry
kite
Trapezium
without
symmetry
THE SQUARE
4 equal sides
90
90
90
90
Opposite sides equal and parallel
Angles are = 90º
Diagonals are equal
Diagonals bisect each other at 90 º
4 lines of symmetry and quarter turn
symmetry
Fits outline 8 ways
The rectangle
=
=
Opposite sides equal and parallel
Angles are = 90º
Diagonals are equal
Diagonals bisect each other
2 lines of symmetry and half turn
symmetry
Fits outline 4ways
The rhombus
Y
4 equal sides
Opposite sides equal and parallel
X

X
Opposite angles are equal
Diagonals bisect each other at 90 º
Diagonals bisect the angles
Y

2 lines of symmetry and HALF turn
symmetry
Fits outline 4 ways
The parallelogram
Y
X
Opposite sides equal and parallel
Opposite angles are equal
Diagonals bisect each other
half turn symmetry
Y
X
Fits outline 2 ways
The Kite
2 pairs of adjacent equal sides
X
X
One pair of opposite angles are
equal
One diagonal bisects the other one
at 90 º
One diagonal bisecst the angles
1 line of symmetry
Fits outline 2 way
The isosceles trapezium
One pair of parallel sides
1 pairs of equal opposite sides
X
X
two pairs of adjacent angles are
equal
diagonals are equal
Y
Y
1 line of symmetry
Fits outline 2 way
The trapezium
One pair of parallel sides
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