Symmetry

Symmetry,[object Object],BTEOTSSSBAT solve problems involving rotational and reflection symmetry,[object Object]

Key words,[object Object],symmetry,[object Object],reflection,[object Object],rotation,[object Object]

A shape is symmetrical if it contains some kind of repeating pattern. ,[object Object],There are two kinds of symmetry:,[object Object],Reflectional symmetry and Rotational symmetry,[object Object],A shape has rotational symmetry if you can turn the page round and the shape is the same when the page is a different way up.,[object Object],A shape has reflectional symmetry if you can draw a mirror line through it so that the shape is the same on both sides of the line.,[object Object]

B C,[object Object], D,[object Object],If the shape is rotated, then the shape will be the same 4 times with points B, C, D and back to A on top. We say it has rotational symmetry order 4.,[object Object],Rotational symmetry,[object Object], A,[object Object]

Reflectional symmetry,[object Object],If we look at a rectangular piece of paper we can fold it on the dotted lines and then each half of the shape will be identical. We say that it has two lines of symmetry. If a mirror were placed on these lines, then the reflections would be the same.,[object Object]

Now try these,[object Object],For each shape state the order of symmetry and then draw on the lines of symmetry.,[object Object]

Plane symmetry,[object Object],The ideas of symmetry can be applied to solid objects.,[object Object],In this case however you find a plane of symmetry rather than a ,[object Object],line of symmetry (a plane is a flat surface).,[object Object]

Symmetry

Symmetry

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Symmetry