Presentation on theme: "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."— Presentation transcript:
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 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.
Transformations There are 3 types of rigid transformations: –Translation – shapes slide –Rotation – shapes turn –Reflection – shapes flip
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
Rotation Rotations turn –Every point of a figure moves around a given point called the center of rotation. –Activity 2, pg 51
Reflection Reflections flip. –In a reflection, a line plays the role of a mirror. Every point in a figure is flipped across the line.
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?
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. Dont group them together, spread them out. Try and hit the other persons items by drawing a bomb on your side, folding the paper and tracing the bomb.
BONUS!!!! Im 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.