Transformation

Notes

Reflection

In reflection, the line joining the object and the image is perpendicular to the mirror line. It means the mirror line is perpendicular bisector of the line segment joining object and image. The mirror line is also called the axis of reflection.

Rotation

Rotation in mathematics is a concept originating in geometry. Any rotation is a motion of a certain space that preserves, at least, one point. It can describe, for examples the motion of around a fixed point. An object can be rotated either in clockwise or in an anticlockwise direction. It is called the direction of rotation. If any object is rotated in an anticlockwise direction, then it is termed as a positive rotation and if it is rotated in clockwise direction, it is termed as negative rotation.

Translation

A translation is the displacement of a geometrical figure so that its position relative to fixed axes is changed, but not its orientation, size and shape. In translation, every point in the object is moved in the same direction and the same distance. Similarly, the directed line segment which is used for translating an object is called the translation vector.

Enlargement

An enlargement is a transformation which changes the size of an object without changing its shape. If the shape of an object increase, we call it as enlargement and if the shape of an object decrease, we call it as reduction. Enlargement and reduction are commonly known as dilation.