Transformations are called RIGID if every image is

Transformations are called RIGID if every image is congruent to its preimage. Rigid transformations can also be referred to as an ISOMETRY. Every segment is congruent to its image.

Translations Day 122 Learning Target: Students can represent transformations in the plane; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e. g. , translation versus horizontal stretch).

Basic Types of Transformations: Translations Reflections Rotations

Quadrant II x-axis Quadrant III Quadrant I (x, y) Quadrant IV y-axis

Object (pre-image) to Image (Before) (After) Before Transformation: After Transformation: (‘ = PRIME) A’ A B C B’ C’

Translations…

A translation "slides" an object a fixed distance in a given direction. The original object and its translation have the same shape and size, and they face in the same direction. Objects that are translated are congruent. *The word "translate" in Latin means "carried across".

Translate the image by (x – 8, y + 2)

Translate the pre-image by (2 x + 2, y – 3)

Find the image (x + 12, y – 17)

Remember: Translations are SLIDING on a graph!!! The shape doesn’t change at Translations are SLIDES!!! all.

Classwork… Coordinating Translations Task