1. Every segment is congruent to its image.
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.

2. they preserve angle measures
Isometries not only
preserve lengths, but
they preserve angle measures
parallel lines, and
betweenness of points

3. 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).

4. Basic Types of Transformations:
Translations
Reflections
Rotations

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

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

7. Translations…

8. A translation "slides" an object a fixed distance in a given direction
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".

9. Translate the image by (x – 8, y + 2)

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

11. Find the image (x + 12, y – 17)

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

13. Coordinating Translations Task
Classwork…
Coordinating Translations Task