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# 1.6 Motion in Geometry

1.6 Motion in Geometry. Rigid Transformations . Transformations that do not change shape or size. Pre-image is the original shape Image is the shape that undergoes a transformation. NOTATION.

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## 1.6 Motion in Geometry

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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

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