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PLANES OF SYMMETRY
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PLANES OF SYMMETRY

Apr 16, 2015

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Ruchika Chandna

Reflection symmetry of 3D shapes including prisms, cube, cuboid etc
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Page 1: PLANES OF SYMMETRY

PLANES OF SYMMETRY

Page 2: PLANES OF SYMMETRY

Plane Symmetry

Page 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

Page 4: 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

Page 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 Cuboid

A Cuboid has 3 planes of symmetry

Page 6: PLANES OF SYMMETRY

Cuboid

3 Planes of symmetry

Page 7: 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

Page 8: 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

Page 9: 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

Page 10: 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

Page 11: 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

Page 12: 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

Page 13: PLANES OF SYMMETRY

5 Planes of

symmetry

Square based prism

Page 14: PLANES OF SYMMETRY

Cube

The 9 Plane Symmetries of the Cube

Page 15: PLANES OF SYMMETRY

Triangular Based Prisms

An isosceles triangular based prism has 2 planes of symmetry.

Triangular Isos

Page 16: PLANES OF SYMMETRY

Triangular Based Prisms

An isosceles triangular based prism has 2 planes of symmetry.

Page 17: PLANES OF SYMMETRY

Triangular Based Prisms

An isosceles triangular based prism has 2 planes of symmetry.

Page 18: PLANES OF SYMMETRY

Triangular Equilateral

Triangular Based Prisms

An equilateral triangular based prism has four planes of symmetry.

Page 19: PLANES OF SYMMETRY

Triangular Based Prisms

An equilateral triangular based prism has four planes of symmetry.

Page 20: PLANES OF SYMMETRY

Triangular Based Prisms

An equilateral triangular based prism has four planes of symmetry.

Page 21: PLANES OF SYMMETRY

Triangular Based Prisms

An equilateral triangular based prism has four planes of symmetry.

Page 22: PLANES OF SYMMETRY

Triangular Based Prisms

An equilateral triangular based prism has four planes of symmetry.

Page 23: PLANES OF SYMMETRY

Pyramids

Pyramids

A rectangular based pyramid has 2 planes of symmetry.

Page 24: PLANES OF SYMMETRY

Pyramids

A square based pyramid has 4 planes of symmetry.

Page 25: PLANES OF SYMMETRY

Pyramids

Regular Tetrahedron: 6 planes of symmetry

Page 26: 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

Page 27: PLANES OF SYMMETRY

Worksheet 1

Cuboid

3 Planes of symmetry

Page 28: PLANES OF SYMMETRY

Worksheet 2

5 Planes of

symmetry

Square based prism

Page 29: PLANES OF SYMMETRY

9 Cubes WorksheetCube

The 9 Plane Symmetries of the Cube

Page 30: PLANES OF SYMMETRY

Worksheet 4

Triangular Based Prisms

An isosceles triangular based prism has 2 planes of symmetry.

Page 31: PLANES OF SYMMETRY

Worksheet 5

Triangular Based Prisms

Page 32: PLANES OF SYMMETRY

Pyramids

Pyramids

Worksheet 6

Page 33: PLANES OF SYMMETRY

Worksheet 7Pyramids

Page 34: PLANES OF SYMMETRY

Worksheet 8

Page 35: PLANES OF SYMMETRY

Worksheet 9

Page 36: PLANES OF SYMMETRY

Worksheet 10

Worksheet 6

Page 37: PLANES OF SYMMETRY

Worksheet 11

Page 38: PLANES OF SYMMETRY