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CONTENTS Slide Slide no.
What is Symmetry? 3
Symmetry 4 Common Errors 5
Letters & Line Symmetry 6
Letters & Rotational Symmetry 7
Nature & Line Symmetry 8
Road Signs & Symmetry 9 Monuments & Symmetry 10
Flags & Line symmetry 11
Flags & Rotational Symmetry 12
Math Symbols & Symmetry 13
Tattoos & Line Symmetry 14
Religious Symbols & Symmetry 15 Words & Rotational
Symmetry 16
Objects & Symmetry 17
Line Symmetry 18
Revision of What we have done 19
The End 20
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An image has Rotational Symmetry if there is a center pointAn
image has Rotational Symmetry if there is a center point
around which the object is turned a certain number of
degreesaround which the object is turned a certain number of
degrees
and the object still looks the same.and the object still looks
the same.
an equilateral triangle has3 internal angles,3 lines of
symmetry & a rotational
symmetry at order 3.
a square has 4internal angles, 4
lines of symmetry &
a rotational
symmetry at order
4.
a regular pentagon has 5
internal angles,5 lines of
symmetry & a rotational
symmetry at order 5.
a regular hexagon
has 6 internal
angles,6 lines of
symmetry & a
rotational symmetry
at order 6.
a regular octagon
has 8 internal
angles,8 lines of
symmetry & a
rotational
symmetry at order
8.A shape has line symmetry when one half of it is the mirror
imageA shape has line symmetry when one half of it is the mirror
image
of the other half.of the other half.
What is Symmetry ?
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Symmetry
Order of Rotation 2
4Lines of symmetry 2
1
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There are some examples of shapes that are tricky
whenconsidering symmetry. A typical parallelogram actually cannot
befolded in half even though it appears to have two 'equal
halves'.
TWE CAN SEE BOTH KINDS OF SYMMETRY
AROUND US; ROTATIONAL AS WELL AS
LINE SYMMETRY.
Common Errors
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LettersandLineSymmetry.
A B C D E
F G J K L N P Q S Z
H I M O
T U V W X YThere are some letters which do
not have any line ofsymmetry.
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H
NS
X
I
O
Z
ROTATIONAL
SYMMETRYAT ORDER
1
rotationalsymmetry at
order 2
rotationalsymmetry at
order 2ROTATION
ALSYMMETRY
AT ORDER
rotational
symmetry
at order 2
rotational
symmetry at
order 2
rotational
symmetry at
order 1
LettersandRotationalSymmetry.
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This flower has 1 line of
symmetry and arotational
symmetry ofOrder5 as it
matches itself 5times.
Nature & Line Symmetry.
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Order 4+4 lines of symmetry
Order 3+0 line of symmetry.
Order 2+0 line of symmetry.
Order 3+0 lines of symmetry. Order 2+1 line of symmetry.
Order 1+1 line of symmetry.
ROADSIGNS &
SYMMETRY.
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Monuments & Symmetry.
Symmetryexists inarchitectureall aroundtheworld.
One ofthe best knownexamples of
this istheTajMahal.
If an object is reflected in water
many people believethe image has line symmetry.
But is it really a 'mirror image'? Is itreally symmetrical?What
are your thoughts?The image can be rotational
symmetry.
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IndonesiaJapan
Finland
Micronesia Aboriginal Flag of AustraliaUnited Nations
BritishCanada
Flags&Line
Symmetry.
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Flags and Rotational
Symmetry.Rotational symmetry-
yes(2)
Rotational symmetry-
yes(2)
Rotational symmetry-yes(1)
Rotational symmetry-
yes(1) Rotational symmetry-yes(2)
Rotational symmetry-
yes(1)
Rotational symmetry-
yes(1)
Rotational symmetry-
yes(1)
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Math symbols & Symmetry.
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Masks,tattoos& Symmetry.
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The Memorah is used duringthe Jewish feast of Chanukah.
The Dharma Wheel is a
Buddhist symbol.
Muslim buildings oftenhave symmetry.
The Jewish Star of David.
The Christian Cross
L.S-1
R.S-0
L.S-4
R.S-0
L.S-1
R.S-8
L.S-6
R.S-6
L.S-1
R.S-0
ReligiousSymbols&Symmetry.
L.S-Line of SymmetryR.S-Rotational Symmetry
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Words & rotational
symmetry.
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OBJECTS & ROTATIONAL
SYMMETRY.Order 5 Often the picture
cards in a playing
deck have
rotational
symmetry.
Since all the toppings
are placed so evenly, this pizza
has rotational symmetry of
Order 6.
Order 7
Order 2
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Clickontheshapestoseehowmanylinesofsymmetrytheyhave
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JUST DID. Objects with eitherline symmetry
orrotational symmetry orboth.
Kenya
Brazil
R.
L+R
R. R+L
R+L
R+L
R+L
R+L
R+L
R
R+L
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