Transformations A rule for moving every point in a figure to a new location.

Translation A transformation that moves each point in a figure the same distance in the same direction. “SLIDE”

In a translation a figure slides up or down, or left or right. [ There is no change in shape or size. The only thing that changes is location.] In graphing translation, all x and y coordinates change by adding or subtracting.

Reflection A transformation where a figure is flipped across a line such as the x-axis or the y-axis. “FLIP”

In a reflection, a mirror image of the figure is formed across a line called a line of symmetry. [There is no change is size, the orientation of the shape changes.] In graphing, – reflection across the x -axis changes the sign of the y coordinate. – reflection across the y-axis changes the sign of the x- coordinate.

A transformation where a figure turns about a fixed point without changing its size and shape. Rotation “TURN”

In a rotation, figure turns around a fixed point, such as the origin. No change in shape, but the orientation and location change. Rules for rotating a figure about the origin in graphing. – Rules for 90 degrees rotation - Switch the coordination of each point. Then change the sign of the y coordinate. Ex. A (2,1) to A’ ( 1,-2) – Rules for 180 degrees rotation – Coordinate points stay the same, just become opposite signs. Ex. A (2,1) to A’ (-2, -1)

Dilation A transformation where a figure changes size. “SHRINK” or “GROW”

In a dilation, a figure is enlarged or reduced proportionally. No change in shape, but unlike other transformation, the size changes. In graphing, for dilation, all coordinates are divided or multiplied by the same number to find the coordinates of the image.