planes of symmetry

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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

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