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Reflection symmetry of 3D shapes including prisms, cube, cuboid etc
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PLANES OF SYMMETRY
Plane Symmetry
Plane 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
Plane 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
Plane 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
Cuboid
3 Planes of symmetry
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
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
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
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
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
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
5 Planes of
symmetry
Square based prism
Cube
The 9 Plane Symmetries of the Cube
Triangular Based Prisms
An isosceles triangular based prism has 2 planes of symmetry.
Triangular Isos
Triangular Based Prisms
An isosceles triangular based prism has 2 planes of symmetry.
Triangular Based Prisms
An isosceles triangular based prism has 2 planes of symmetry.
Triangular Equilateral
Triangular Based Prisms
An equilateral triangular based prism has four planes of symmetry.
Triangular Based Prisms
An equilateral triangular based prism has four planes of symmetry.
Triangular Based Prisms
An equilateral triangular based prism has four planes of symmetry.
Triangular Based Prisms
An equilateral triangular based prism has four planes of symmetry.
Triangular Based Prisms
An equilateral triangular based prism has four planes of symmetry.
Pyramids
Pyramids
A rectangular based pyramid has 2 planes of symmetry.
Pyramids
A square based pyramid has 4 planes of symmetry.
Pyramids
Regular Tetrahedron: 6 planes of symmetry
QuestionsState the number of planes of symmetry for each shape
1 2 3
4 5 6
7 8 9
6 2 1
Infinite 5 1
4 3 2
Worksheet 1
Cuboid
3 Planes of symmetry
Worksheet 2
5 Planes of
symmetry
Square based prism
9 Cubes WorksheetCube
The 9 Plane Symmetries of the Cube
Worksheet 4
Triangular Based Prisms
An isosceles triangular based prism has 2 planes of symmetry.
Worksheet 5
Triangular Based Prisms
Pyramids
Pyramids
Worksheet 6
Worksheet 7Pyramids
Worksheet 8
Worksheet 9
Worksheet 10
Worksheet 6
Worksheet 11
