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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Presentation transcript:

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 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

Questions State the number of planes of symmetry for each shape Infinite