Transformation in a Coordinate Plane

Transformations are movements of geometric figures in the coordinate plane.

An image is the position of the figure after the transformation.

A reflection is a figure flipped over a line.

To reflect a point over the x-axis, multiply the x-coordinate by - 1.

A rotation is a figure turned around a point.

To rotate a figure 180^o about the origin, multiply both coordinates by - 1.

A translation is a figure slid in any direction.

To translate a point by an ordered pair (a, b), add a to the x-coordinate, and subtract b from the y-coordinate.

A dilation is a figure that is enlarged or reduced.

To dilate a figure by a scale factor k, multiply both coordinates by k.