1. 1.6 Motion in Geometry

2. Rigid Transformations
Transformations that do not change shape or size.
Pre-image is the original shape
Image is the shape that undergoes a transformation

3. NOTATION
The original figure is named as we have learned so far. For instance a point would be called A. This is the pre-image.
The image of point A is called A’ (said, “A prime”). This is so we can tell the difference between the 2 identical figures.

4. Transformations There are 3 types of rigid transformations:
Translation – shapes slide
Rotation – shapes turn
Reflection – shapes flip

5. Translation Shapes slide
Every point of a figure moves in a straight line, all points move the same distance and same direction.
WHO HAS EXTRA PATTY PAPER?
Activity 1, pg 51

6. Rotation Rotations turn
Every point of a figure moves around a given point called the center of rotation.
Activity 2, pg 51

7. Reflection Reflections flip.
In a reflection, a line plays the role of a mirror. Every point in a figure is ‘flipped’ across the line.

8. Summary What is the movement of a rotation?
What does is ‘turn’ around?
What is the movement of a translation?
What does it ‘slide’ on?
What is the movement of a reflection?
What does it ‘flip’ over?
When can the pre-image and the image be a different size?
How do you notate the pre-image? (For instance segment AB)
How do you notate the image?

9. Game of War Get a partner, a pencil and one piece of paper.
Fold the paper hamburger
On your side, put 5 war things no bigger than a dime. Don’t group them together, spread them out.
Try and hit the other person’s items by drawing a bomb on your side, folding the paper and tracing the bomb.

10. BONUS!!!! I’m looking for two things…..
Tell me the relationship between the pre-image of the bomb and the image of the bomb with the fold line.
Tell me the relationship between a segment drawn between the pre-image and image of a bomb with the fold line.

11. Assignment
Worksheets 1.6 A and 1.6 B