TRANSFORMATIONSMaps one figure onto another figure in a plane.

Translations

Slide; moves each point in a figure the same distance and in the same direction.

(x + a, y + b); directions where to move

a tells you how far to move left or right b tells you how far to move up or down

The original figure and its image are congruent

Reflections

Flip; a mirror image of the original figure over a line of reflection ( the x or the y axis).

Reflection over the x-axis results in a vertical flip and only the y-coordinate changes.

Reflection over the y-axis results in a horizontal flip and only the x-coordinate changes

Symmetry

Line symmetry- When figures can be folded in half and match exactly over lines of symmetry

Can have zero or many lines of symmetry