1 los one line of symmetry vertical lines of symmetry horizontal lines of symmetry diagonal lines of...
TRANSCRIPT
1 LoSOne Line of Symmetry
Vertical lines of symmetry
Horizontal lines of symmetry
Diagonal lines of symmetry
2 LoS
2 Lines of Symmetry
RectangleThe Rectangle Problem
A rectangle has only 2 lines of symmetry and not 4 like the square
To see this consider the
following:
Half a rectangleMirror Line
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 rectangleMirror Line
A reflection in the diagonal would produce a kite!
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 Hexagon Regular Octagon
Regular polygons have lines of symmetry equal to the number of sides/angles that they possess.
Mix 1
How many lines of symmetry for each shape?
4 3 6
5 8
Mix 26 5 3
4 5
How many lines of symmetry for each shape?
Mix 32 5 3
2 4
How many lines of symmetry for each shape?
Mix 4
How many lines of symmetry for each shape?
6 2 4
1 2 1
Mix 5
How many lines of symmetry for each shape?
1 2 4
5 3
Mix 6
How many lines of symmetry for each shape?
4 8 1
6 1
Plane 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
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
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
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