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1 LoS One Line of Symmetry Vertical lines of symmetry

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Presentation on theme: "1 LoS One Line of Symmetry Vertical lines of symmetry"— Presentation transcript:

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

2 2 Lines of Symmetry 2 LoS

3  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

4  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!

5 3 LoS 3 Lines of Symmetry

6 4 LoS 4 Lines of Symmetry

7 5 Lines of Symmetry 5 LoS

8 6 LoS 6 Lines of Symmetry

9 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

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

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

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

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

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

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

16 Plane Symmetry

17 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

18 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

19 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

20 Cuboid 3 Planes of symmetry

21 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

22 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

23 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

24 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

25 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

26 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

27 5 Planes of symmetry Square based prism

28 The 9 Plane Symmetries of the Cube

29 Triangular Based Prisms
An isosceles triangular based prism has 2 planes of symmetry. Triangular Isos

30 Triangular Based Prisms
An isosceles triangular based prism has 2 planes of symmetry.

31 Triangular Based Prisms
An isosceles triangular based prism has 2 planes of symmetry.

32 Triangular Equilateral
Triangular Based Prisms An equilateral triangular based prism has four planes of symmetry. Triangular Equilateral

33 Triangular Based Prisms
An equilateral triangular based prism has four planes of symmetry.

34 Triangular Based Prisms
An equilateral triangular based prism has four planes of symmetry.

35 Triangular Based Prisms
An equilateral triangular based prism has four planes of symmetry.

36 Triangular Based Prisms
An equilateral triangular based prism has four planes of symmetry.

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

38 Pyramids A square based pyramid has 4 planes of symmetry.

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

40 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


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