1. Transformations

2. Transformation: the operation that maps, or moves, the pre-image onto the image
Image: the new figure that results from the transformation of a figure in a plane
Pre-image: the original figure in the transformation of a figure in a plane

3. Rotation about a point
Reflection in a line
Translation

4. Isometry -a transformation that preserves lengths
-also preserves angle measures, parallel lines, and distance between points
-isometric transformations are also called rigid transformation

5. Identifying IsometriesA) B) C)
YES
YES NO

6. y B B’ 2 A C C’ A’ x 1

7. y
(-3,5) B B’ 2
(-4,1) A C’ A’ C
(-1,1) x 1

8. y
(-3,5) B
B’ (3,5) 2
(-4,1) A C
(-1,1)
C’ (1,1)
A’ (4,1) x

9. B C A E D F
ABC is mapped onto DEF

10. USING ARROW NOTATIONS B E A C D F
ABC  DEF
AD BE CF

11. Find the length of XY and the measure of ZQ P Z X Y 35 3
Find the length of XY and the measure of Z

12. How do we figure out what m is?Q P Z X Y 2m 35 3 5 3
How do we figure out what m is?

13. B C A E D F x 3y 8 40
Find the value of each variable given that the transformation is an isometry

14. Which digits can be constructed using only half of the digit and a reflection?
0, 1, 3, 8