1 LoS One Line of Symmetry Vertical lines of symmetry Horizontal lines of symmetry Diagonal lines of symmetry

2 Lines of Symmetry 2 LoS

 Rectangle The Rectangle Problem A rectangle has only 2 lines of symmetry and not 4 like the square  To see this consider the following: Mirror Line Half a rectangle

 The Rectangle Problem A rectangle has only 2 lines of symmetry and not 4 like the square  To see this consider the following: Half a rectangle Mirror Line A reflection in the diagonal would produce a kite!

3 LoS 3 Lines of Symmetry

4 LoS 4 Lines of Symmetry

5 Lines of Symmetry 5 LoS

6 LoS 6 Lines of Symmetry

Regular Regular Polygons Equilateral Triangle Square Regular Pentagon Regular polygons have lines of symmetry equal to the number of sides/angles that they possess. Regular Regular Hexagon Regular Octagon

How many lines of symmetry for each shape? 4 3 6 Mix 1 5 8

How many lines of symmetry for each shape? 6 5 3 Mix 2 4 5

How many lines of symmetry for each shape? 2 3 5 Mix 3 2 4

How many lines of symmetry for each shape? Mix 4 6 2 4 1 2 1

How many lines of symmetry for each shape? 1 2 4 Mix 5 5 3

How many lines of symmetry for each shape? 4 8 1 Mix 6 6 1

Plane Symmetry

Plane Symmetry A Cuboid A Cuboid has 3 planes of 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 Cuboid A Cuboid has 3 planes of 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 Cuboid A Cuboid has 3 planes of 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

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 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.

Pyramids A rectangular based pyramid has 2 planes of symmetry. Pyramids

Pyramids A square based pyramid has 4 planes of symmetry.

Regular Tetrahedron: 6 planes of symmetry Pyramids Regular Tetrahedron: 6 planes of symmetry

State the number of planes of symmetry for each shape Questions State the number of planes of symmetry for each shape 1 2 3 6 2 1 4 5 6 Infinite 1 5 8 9 7 2 3 4