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Published byLeonard Harrell Modified over 9 years ago
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1 LoS One Line of Symmetry Vertical lines of symmetry
Horizontal lines of symmetry Diagonal lines of symmetry
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2 Lines of Symmetry 2 LoS
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Rectangle The Rectangle Problem
A rectangle has only 2 lines of symmetry and not 4 like the square To see this consider the following: Mirror Line Half a rectangle
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The Rectangle Problem
A rectangle has only 2 lines of symmetry and not 4 like the square To see this consider the following: Half a rectangle Mirror Line A reflection in the diagonal would produce a kite!
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3 LoS 3 Lines of Symmetry
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4 LoS 4 Lines of Symmetry
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5 Lines of Symmetry 5 LoS
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6 LoS 6 Lines of Symmetry
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Regular Regular Polygons Equilateral Triangle Square Regular Pentagon
Regular polygons have lines of symmetry equal to the number of sides/angles that they possess. Regular Regular Hexagon Regular Octagon
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How many lines of symmetry for each shape?
4 3 6 Mix 1 5 8
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How many lines of symmetry for each shape?
6 5 3 Mix 2 4 5
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How many lines of symmetry for each shape?
2 3 5 Mix 3 2 4
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How many lines of symmetry for each shape?
Mix 4 6 2 4 1 2 1
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How many lines of symmetry for each shape?
1 2 4 Mix 5 5 3
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How many lines of symmetry for each shape?
4 8 1 Mix 6 6 1
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Plane Symmetry
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Plane Symmetry A Cuboid A Cuboid has 3 planes of symmetry
A plane of symmetry divides a three dimensional shape into two congruent halves that are mirror images of each other. A Cuboid A Cuboid has 3 planes of symmetry
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Plane Symmetry A Cuboid A Cuboid has 3 planes of symmetry
A plane of symmetry divides a three dimensional shape into two congruent halves that are mirror images of each other. A Cuboid A Cuboid has 3 planes of symmetry
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Plane Symmetry A Cuboid A Cuboid has 3 planes of symmetry
A plane of symmetry divides a three dimensional shape into two congruent halves that are mirror images of each other. A Cuboid A Cuboid has 3 planes of symmetry
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Cuboid 3 Planes of symmetry
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Can you explain why the plane shown is not a plane of symmetry?
This is similar to the situation for the rectangle which does not have a line of symmetry through its diagonal. Reflection through the diagonal produces a kite. No Diagonal
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Plane Symmetry A plane of symmetry divides a three dimensional shape into two congruent halves that are mirror images of each other. A square based prism A square based prism has 5 Planes of symmetry
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Plane Symmetry A plane of symmetry divides a three dimensional shape into two congruent halves that are mirror images of each other. A square based prism A square based prism has 5 Planes of symmetry
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Plane Symmetry A plane of symmetry divides a three dimensional shape into two congruent halves that are mirror images of each other. A square based prism A square based prism has 5 Planes of symmetry
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Plane Symmetry A plane of symmetry divides a three dimensional shape into two congruent halves that are mirror images of each other. A square based prism A square based prism has 5 Planes of symmetry
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Plane Symmetry A plane of symmetry divides a three dimensional shape into two congruent halves that are mirror images of each other. A square based prism A square based prism has 5 Planes of symmetry
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5 Planes of symmetry Square based prism
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The 9 Plane Symmetries of the Cube
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Triangular Based Prisms
An isosceles triangular based prism has 2 planes of symmetry. Triangular Isos
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Triangular Based Prisms
An isosceles triangular based prism has 2 planes of symmetry.
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Triangular Based Prisms
An isosceles triangular based prism has 2 planes of symmetry.
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Triangular Equilateral
Triangular Based Prisms An equilateral triangular based prism has four planes of symmetry. Triangular Equilateral
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Triangular Based Prisms
An equilateral triangular based prism has four planes of symmetry.
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Triangular Based Prisms
An equilateral triangular based prism has four planes of symmetry.
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Triangular Based Prisms
An equilateral triangular based prism has four planes of symmetry.
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Triangular Based Prisms
An equilateral triangular based prism has four planes of symmetry.
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Pyramids A rectangular based pyramid has 2 planes of symmetry. Pyramids
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Pyramids A square based pyramid has 4 planes of symmetry.
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Regular Tetrahedron: 6 planes of symmetry
Pyramids Regular Tetrahedron: 6 planes of symmetry
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State the number of planes of symmetry for each shape
Questions State the number of planes of symmetry for each shape 1 2 3 6 2 1 4 5 6 Infinite 1 5 8 9 7 2 3 4
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