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## 1 LoS

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**1 LoS**One Line of Symmetry Vertical lines of symmetry Horizontal lines of symmetry Diagonal lines of symmetry**2 LoS**2 Lines of Symmetry**Rectangle**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:**The Rectangle Problem**A rectangle has only 2 lines of symmetry and not 4 like the square To see this consider the following: A reflection in the diagonal would produce a kite! Mirror Line Half a rectangle**3 LoS**3 Lines of Symmetry**4 LoS**4 Lines of Symmetry**5 LoS**5 Lines of Symmetry**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 Octagon Regular Hexagon**Mix 1**How many lines of symmetry for each shape? 6 4 3 5 8**Mix 2**How many lines of symmetry for each shape? 3 6 5 4 5**Mix 3**How many lines of symmetry for each shape? 3 2 5 2 4**Mix 4**How many lines of symmetry for each shape? 6 2 4 2 1 1**Mix 5**How many lines of symmetry for each shape? 1 2 4 3 5**Mix 6**How many lines of symmetry for each shape? 8 1 4 1 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 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**No Diagonal**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.**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 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 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**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