2 Rigid Transformations Transformations that do not change shape or size.Pre-image is the original shapeImage is the shape that undergoes a transformation
3 NOTATIONThe 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 slideRotation – shapes turnReflection – 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 hamburgerOn 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.