1 / 11

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.

wayde
Download Presentation

1.6 Motion in Geometry

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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

More Related