Transformation

Let S and T are non empty sets. A function (mapping) f from S to T is a rule which assosiates, with element of S, a unique element of T. For s in S, the unique element of T that f assosiates with s is the image of s under f.

A mapping f from S to T is onto if every element of T is the image under f of at least one element of S.

A mapping f from S to T is a one to one if each element of S is made to correspondend with exactly one element of T, and vice versa.

Let S be the set of points in a plane. A transformation of the plane is one to one mapping from S to S. The types of transformation found in geometry are translation, reflection, rotation, and enlargement.

1. Translation

A boy moving down a slide is an example of translation.

Translation is a transformation which moves all points on a plane.

2. Reflection

A man in front of the mirror is an example of reflection.

Reflection is a transformation which reflects all points of a plane in a line.

3. Rotation

open  the lid of rice cooker  is an example of rotation.

Rotation is a transformation which rotate all points on a plane about a fixed point known.

4. Enlargement

The process of enlargement in copier machine is an example of enlargement.

Enlargement is a transformation which each points is mapped along a straight line down from a fixed point.

References:

Clapham, C. (1996). The Concise Oxford Dictionary of Mathematics Second Edition. Oxford University Press.

Hong, T. C., (2003). New Mathematics Counts 5 for Secondary Normal (Academic). Federal Marshall Cavendish Education.

Morrison, K. (2006). IGCSE Mathematics. Cambridge University Press.

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