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3-D figures. Reflectional Symmetry For 2D figure: If a plane figure can be divided by a line into two identical parts and these parts are mirror images.

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Presentation on theme: "3-D figures. Reflectional Symmetry For 2D figure: If a plane figure can be divided by a line into two identical parts and these parts are mirror images."— Presentation transcript:

1 3-D figures

2 Reflectional Symmetry For 2D figure: If a plane figure can be divided by a line into two identical parts and these parts are mirror images of each other, then we say that the figure has reflectional symmetry. axis of symmetry->

3 Reflectional Symmetry For 3D- figure: If a solid is evenly divided into two parts by a plane, the two parts are the mirror images of each other. This solid is said to have the property of reflectional symmetry and the plane is called the plane of reflection.

4 Cube How many planes of reflection of a cube? There are totally 9 planes of reflection for a cube

5 Tetrahedron How many planes of reflection of a tetrahedron? There are totally 6 planes of reflection for a tetrahedron 2 1 3 4 5 6

6 Rotational symmetry If a solid coincides with itself n times (where n  2) when it is rotated one revolution about an axis inside the solid, the solid is said to have n-fold rotational symmetry about the axis, and the axis is called an axis of rotation. Note: Cube (3D) has rotational symmetry but square (2D) has not

7 Cube How many axes rotational symmetry axes of a cube? There are 13 rotational Symmetry axes

8 Tetrahedron How many axes rotational symmetry axes of a tetrahedron? There are 7 Rotational symmetry axes

9 Orthographical Projection An orthographic projection uses three plane figures to illustrate the shape of a solid. These plane figures show the front view, the side view and the top view of the solid. Front view - viewing the object from the front. Side view - viewing the object from the side. Top view - viewing the object from the top.

10 Pyramid Front view :Side view : Top view :

11 Nets of solids A net is a plane figure that can be folded into a solid.

12 Euler Formula V: number of vertices = 4 E: number of edges = 6 F: number of faces = 4 V- E + F = 2

13 END


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