Symmetry (Rotational).ppt
Transcript of Symmetry (Rotational).ppt
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Rotational Symmetry
5
7 2
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Rotational Symmetry All 2 dimensional shapes have some rotational symmetry. The degreeof rotational symmetry that an object has is known as its order.
Order 1 Order 2 Order 3 Order 4
For shapes that have order 2 rotational symmetry or higher, a singlecentre of rotation can be located.For shapes that have only order 1 rotational symmetry a centre of
rotation can be found anywhere within it.
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Rotational Symmetry
Order 11
2
Order 2
12
3
Order 312
3 4
Order 4
The order ofrotational symmetrythat an object has isthe number of timesthat it fits on to itself during a full rotationof 360 0 .
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Rotational Symmetry
Order 11
2
Order 2
12
3
Order 3
The order ofrotationalsymmetry thatan object has
is the numberof times that itfits on to itself during a fullrotation of360 0
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What is the order of rotational symmetry of the shape below?
Rotational Symmetry
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1
23
4
5What is the order of rotational symmetry of the shape below?
Order 5
Rotational Symmetry
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What is the order of rotational symmetry of the shape below?
Rotational Symmetry
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1
2
3
4
5
What is the order of rotational symmetry of the shape below?
Order 6
Rotational Symmetry
6
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Equilateral Triangle
An equilateral triangle has rotational symmetry of order ?
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Equilateral Triangle
An equilateral triangle has rotational symmetry of order ?
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Equilateral Triangle
An equilateral triangle has rotational symmetry of order ?
12
33
This shape has rotational symmetry every 120 degrees.
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Square
A square has rotational symmetry of order ?
Square
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Square
A square has rotational symmetry of order ?
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Square
A square has rotational symmetry of order ?
12
3
4
4
A square has rotational symmetry every 90 degrees.360 4 = 90
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Pentagon
Regular Pentagon
A regular pentagon has rotational symmetry of order ?
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Regular Pentagon
A regular pentagon has rotational symmetry of order ?
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Regular Pentagon
A regular pentagon has rotational symmetry of order ? 5
1
23
4
5
A regular pentagon has rotational symmetry 5 times. 360 degreesdivide by 5 means it matches up every 72 degrees.
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Hexagon
Regular Hexagon
A regular hexagon has rotational symmetry of order ?
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Regular Hexagon
A regular hexagon has rotational symmetry of order ?
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1
23
4
5 6
Regular Hexagon
A regular hexagon has rotational symmetry of order ? 6
The hexagonhas rotationalSymmetry 6
times. 360 6.It has
symmetryeveyy 60
degrees
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Regular Octagon
A regular octagon has rotational symmetry of order ?
Octagon
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1
2
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5
6
Regular Octagon
A regular octagon has rotational symmetry of order ? 8
7 8 The regularoctagon has 8
points ofrotational
symmetry. Itmatches up
3608 or every45 degrees !
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Rectangle
Rectangle
A rectangle has rotational symmetry of order ?
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2
1
2
Rectangle
A rectangle has rotational symmetry of order ?
This rectangle is not a regular polygon. It will show rotationalsymmetry only twice. 360 degrees2 every 180 degrees
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Parallelogram
Parallelogram
A parallelogram has rotational symmetry of order ?
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2
1
2
Parallelogram
A parallelogram has rotational symmetry of order ?
How many degrees must this parallelogram rotate before it showssymmetry?
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Isosceles Triangle
An isosceles triangle has rotational symmetry of order ?
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11
Isosceles Triangle
An isosceles triangle has rotational symmetry of order ?
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Scalene
Scalene Triangle
An scalene triangle has rotational symmetry of order ?
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1
1
Scalene Triangle
An scalene triangle has rotational symmetry of order ?
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Isos Trapezium
Isosceles Trapezoid
A isocelese trapezoid has rotational symmetry of order ?
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1
1
Isosceles Trapezium
An isosceles trapezioid has rotational symmetry of order ?
Since there is no symmetry until it has rotated the entire 360 degrees,the order of symmetry is one.
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Trapezium
Right Trapezoid
A trapezium has rotational symmetry of order ?
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1
1
A right trapezoid has rotational symmetry of order ?
Right Trapezoid
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A kite has rotational symmetry of order ?
Kite
Kite
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11
A kite has rotational symmetry of order ?
Kite
Kite
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Rhombus
A rhombus has rotational symmetry of order ?
Rhombus
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Ellipse
An ellipse has rotational symmetry of order ?
Ellipse
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Ellipse
2
1
An ellipse has rotational symmetry of order ?
Ellipse
2
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Rotational SymmetryState the order of rotational symmetry for each shape below:
1 2 3 4
5 6 7 8
9 10 11 12
Order 6 Order 2 Order 3 Order 2
Order 1 Order 3 Order 2Order 5
Order 4 Order 1 Order 6Order 8
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Rotational SymmetryState the order of rotational symmetry for each shape below:
13 14 15 16
17 18 19 20
21 22 23 24
Order 4 Order 1 Order 2 Order 5
Order 2 Order 4 Order 6Order 3
Order 5 Order 4 Order 3 Order 1
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Now..its the time for
To ignite your minds..
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@ First, Observe the given Picture carefully.
@ Try to Imagine the rotation
@ Concentrate on the inner designs also
@ Each question carries 1m as usual
@ Time limit for each Work sheet is 5 min., only
# WRITE ONLY THE ORDER OF ROTATIONALSYMMETRY IN THE GIVEN BOXES
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Worksheet 1
Rotational SymmetryState the order of rotational symmetry for each shape below:
1 2 3 4
5 6 7 8
9 10
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Rotational SymmetryState the order of rotational symmetry for each shape below:
13 14
15 16 17 18
19 20
11 12