Plane Symmetry A plane of symmetry divides a three dimensional shape into two congruent halves that...
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Transcript of Plane Symmetry A plane of symmetry divides a three dimensional shape into two congruent halves that...
![Page 1: 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.](https://reader030.fdocuments.net/reader030/viewer/2022033022/56649d015503460f949d3d57/html5/thumbnails/1.jpg)
Plane Symmetry
![Page 2: 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.](https://reader030.fdocuments.net/reader030/viewer/2022033022/56649d015503460f949d3d57/html5/thumbnails/2.jpg)
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
![Page 3: 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.](https://reader030.fdocuments.net/reader030/viewer/2022033022/56649d015503460f949d3d57/html5/thumbnails/3.jpg)
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
![Page 4: 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.](https://reader030.fdocuments.net/reader030/viewer/2022033022/56649d015503460f949d3d57/html5/thumbnails/4.jpg)
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
![Page 5: 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.](https://reader030.fdocuments.net/reader030/viewer/2022033022/56649d015503460f949d3d57/html5/thumbnails/5.jpg)
Cuboid
3 Planes of symmetry
![Page 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.](https://reader030.fdocuments.net/reader030/viewer/2022033022/56649d015503460f949d3d57/html5/thumbnails/6.jpg)
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
![Page 7: 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.](https://reader030.fdocuments.net/reader030/viewer/2022033022/56649d015503460f949d3d57/html5/thumbnails/7.jpg)
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
![Page 8: 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.](https://reader030.fdocuments.net/reader030/viewer/2022033022/56649d015503460f949d3d57/html5/thumbnails/8.jpg)
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
![Page 9: 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.](https://reader030.fdocuments.net/reader030/viewer/2022033022/56649d015503460f949d3d57/html5/thumbnails/9.jpg)
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
![Page 10: 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.](https://reader030.fdocuments.net/reader030/viewer/2022033022/56649d015503460f949d3d57/html5/thumbnails/10.jpg)
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
![Page 11: 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.](https://reader030.fdocuments.net/reader030/viewer/2022033022/56649d015503460f949d3d57/html5/thumbnails/11.jpg)
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
![Page 12: 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.](https://reader030.fdocuments.net/reader030/viewer/2022033022/56649d015503460f949d3d57/html5/thumbnails/12.jpg)
5 Planes of
symmetry
Square based prism
![Page 13: 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.](https://reader030.fdocuments.net/reader030/viewer/2022033022/56649d015503460f949d3d57/html5/thumbnails/13.jpg)
Cube
The 9 Plane Symmetries of the Cube
![Page 14: 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.](https://reader030.fdocuments.net/reader030/viewer/2022033022/56649d015503460f949d3d57/html5/thumbnails/14.jpg)
Triangular Based Prisms
An isosceles triangular based prism has 2 planes of symmetry.
Triangular Isos
![Page 15: 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.](https://reader030.fdocuments.net/reader030/viewer/2022033022/56649d015503460f949d3d57/html5/thumbnails/15.jpg)
Triangular Based Prisms
An isosceles triangular based prism has 2 planes of symmetry.
![Page 16: 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.](https://reader030.fdocuments.net/reader030/viewer/2022033022/56649d015503460f949d3d57/html5/thumbnails/16.jpg)
Triangular Based Prisms
An isosceles triangular based prism has 2 planes of symmetry.
![Page 17: 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.](https://reader030.fdocuments.net/reader030/viewer/2022033022/56649d015503460f949d3d57/html5/thumbnails/17.jpg)
Triangular Equilateral
Triangular Based Prisms
An equilateral triangular based prism has four planes of symmetry.
![Page 18: 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.](https://reader030.fdocuments.net/reader030/viewer/2022033022/56649d015503460f949d3d57/html5/thumbnails/18.jpg)
Triangular Based Prisms
An equilateral triangular based prism has four planes of symmetry.
![Page 19: 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.](https://reader030.fdocuments.net/reader030/viewer/2022033022/56649d015503460f949d3d57/html5/thumbnails/19.jpg)
Triangular Based Prisms
An equilateral triangular based prism has four planes of symmetry.
![Page 20: 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.](https://reader030.fdocuments.net/reader030/viewer/2022033022/56649d015503460f949d3d57/html5/thumbnails/20.jpg)
Triangular Based Prisms
An equilateral triangular based prism has four planes of symmetry.
![Page 21: 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.](https://reader030.fdocuments.net/reader030/viewer/2022033022/56649d015503460f949d3d57/html5/thumbnails/21.jpg)
Triangular Based Prisms
An equilateral triangular based prism has four planes of symmetry.
![Page 22: 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.](https://reader030.fdocuments.net/reader030/viewer/2022033022/56649d015503460f949d3d57/html5/thumbnails/22.jpg)
Pyramids
Pyramids
A rectangular based pyramid has 2 planes of symmetry.
![Page 23: 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.](https://reader030.fdocuments.net/reader030/viewer/2022033022/56649d015503460f949d3d57/html5/thumbnails/23.jpg)
Pyramids
A square based pyramid has 4 planes of symmetry.
![Page 24: 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.](https://reader030.fdocuments.net/reader030/viewer/2022033022/56649d015503460f949d3d57/html5/thumbnails/24.jpg)
Pyramids
Regular Tetrahedron: 6 planes of symmetry
![Page 25: 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.](https://reader030.fdocuments.net/reader030/viewer/2022033022/56649d015503460f949d3d57/html5/thumbnails/25.jpg)
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
![Page 26: 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.](https://reader030.fdocuments.net/reader030/viewer/2022033022/56649d015503460f949d3d57/html5/thumbnails/26.jpg)
Worksheet 1
Cuboid
3 Planes of symmetry
![Page 27: 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.](https://reader030.fdocuments.net/reader030/viewer/2022033022/56649d015503460f949d3d57/html5/thumbnails/27.jpg)
Worksheet 2
5 Planes of
symmetry
Square based prism
![Page 28: 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.](https://reader030.fdocuments.net/reader030/viewer/2022033022/56649d015503460f949d3d57/html5/thumbnails/28.jpg)
9 Cubes WorksheetCube
The 9 Plane Symmetries of the Cube
![Page 29: 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.](https://reader030.fdocuments.net/reader030/viewer/2022033022/56649d015503460f949d3d57/html5/thumbnails/29.jpg)
Worksheet 4
Triangular Based Prisms
An isosceles triangular based prism has 2 planes of symmetry.
![Page 30: 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.](https://reader030.fdocuments.net/reader030/viewer/2022033022/56649d015503460f949d3d57/html5/thumbnails/30.jpg)
Worksheet 5
Triangular Based Prisms
![Page 31: 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.](https://reader030.fdocuments.net/reader030/viewer/2022033022/56649d015503460f949d3d57/html5/thumbnails/31.jpg)
Pyramids
Pyramids
Worksheet 6
![Page 32: 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.](https://reader030.fdocuments.net/reader030/viewer/2022033022/56649d015503460f949d3d57/html5/thumbnails/32.jpg)
Worksheet 7Pyramids
![Page 33: 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.](https://reader030.fdocuments.net/reader030/viewer/2022033022/56649d015503460f949d3d57/html5/thumbnails/33.jpg)
Worksheet 8
![Page 34: 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.](https://reader030.fdocuments.net/reader030/viewer/2022033022/56649d015503460f949d3d57/html5/thumbnails/34.jpg)
Worksheet 9
![Page 35: 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.](https://reader030.fdocuments.net/reader030/viewer/2022033022/56649d015503460f949d3d57/html5/thumbnails/35.jpg)
Worksheet 10
Worksheet 6
![Page 36: 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.](https://reader030.fdocuments.net/reader030/viewer/2022033022/56649d015503460f949d3d57/html5/thumbnails/36.jpg)
Worksheet 11
![Page 37: 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.](https://reader030.fdocuments.net/reader030/viewer/2022033022/56649d015503460f949d3d57/html5/thumbnails/37.jpg)