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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

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Page 1: 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

Plane Symmetry

Page 2: 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

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

Page 3: 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

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

Page 4: 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

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

Page 5: 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

Cuboid

3 Planes of symmetry

Page 6: 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

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

Page 7: 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

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

Page 8: 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

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

Page 9: 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

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

Page 10: 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

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

Page 11: 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

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

Page 12: 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

5 Planes of

symmetry

Square based prism

Page 13: 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

Cube

The 9 Plane Symmetries of the Cube

Page 14: 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

Triangular Based Prisms

An isosceles triangular based prism has 2 planes of symmetry.

Triangular Isos

Page 15: 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

Triangular Based Prisms

An isosceles triangular based prism has 2 planes of symmetry.

Page 16: 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

Triangular Based Prisms

An isosceles triangular based prism has 2 planes of symmetry.

Page 17: 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

Triangular Equilateral

Triangular Based Prisms

An equilateral triangular based prism has four planes of symmetry.

Page 18: 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

Triangular Based Prisms

An equilateral triangular based prism has four planes of symmetry.

Page 19: 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

Triangular Based Prisms

An equilateral triangular based prism has four planes of symmetry.

Page 20: 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

Triangular Based Prisms

An equilateral triangular based prism has four planes of symmetry.

Page 21: 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

Triangular Based Prisms

An equilateral triangular based prism has four planes of symmetry.

Page 22: 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

Pyramids

Pyramids

A rectangular based pyramid has 2 planes of symmetry.

Page 23: 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

Pyramids

A square based pyramid has 4 planes of symmetry.

Page 24: 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

Pyramids

Regular Tetrahedron: 6 planes of symmetry

Page 25: 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

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

Page 26: 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

Worksheet 1

Cuboid

3 Planes of symmetry

Page 27: 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

Worksheet 2

5 Planes of

symmetry

Square based prism

Page 28: 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

9 Cubes WorksheetCube

The 9 Plane Symmetries of the Cube

Page 29: 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

Worksheet 4

Triangular Based Prisms

An isosceles triangular based prism has 2 planes of symmetry.

Page 30: 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

Worksheet 5

Triangular Based Prisms

Page 31: 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

Pyramids

Pyramids

Worksheet 6

Page 32: 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

Worksheet 7Pyramids

Page 33: 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

Worksheet 8

Page 34: 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

Worksheet 9

Page 35: 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

Worksheet 10

Worksheet 6

Page 36: 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

Worksheet 11

Page 37: 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