1. Transformations

2. transformation A change of position or size of a figure. 4 types:
Translations
Reflections
Rotations
Dilation
4 types:

3. translation
A transformation that moves points the same distance and in the same direction.
* The figures are congruent!
* The original image is slid!

4. Example:

5. reflections The mirror image of the original figure
* The figures are congruent!
* The original image is flipped!

6. Example:
Line of Reflection

7. The line of Reflection is also called the line of symmetry.

8. It is also possible to have a reflection image with respect to a point.

9. Point of Symmetry
The point must be the midpoint for all segments that pass through it and have endpoints on the figure.

10. Example
Does Rhombus MATH have point symmetry?
Yes M A T H

11. rotation A transformation that turns a figure about a fixed point.
Example:

12. Another Example:

13. Dilation Change in size of a figure Enlarge or shrink
Similar figures (congruent angles, proportional side lengths)

14. Original Figure

15. isometry Congruence Transformation
Maps every segment to a congruent segment
No change in size!
Congruent sides and congruent angles

16. State whether each of the following have isometry.
Translation
Reflection
Rotation
Dilation
Yes
Yes
Yes No

17. Transformationsare used to make tessellations

18. tessellation
A repeating pattern of figures that completely covers a plane without gaps or overlaps.

19. Transformations in the work of M.C. Escher

24. Learn more about M.C. Escher