Obj: to perform transformations on objects on a coordinate plane 6.1 Leaping Lizards Obj: to perform transformations on objects on a coordinate plane
The use in CGI CGI before and after Read and work through the task p.1-2 (and 3 if you want a bigger graph) Materials you can use are on the window sill Jot down some observations on your sheet
Pre-image Image The initial image to before transformations A B C … The image after the transformations A’ B’ C’… After a second transformation: A’’ B’’…
Lazy Lizard Let’s share some strategies What did you notice? If you connected the corresponding points, what type of lines would you get? translations move points a specified distance along parallel lines It preserves shape and orientation
Lunging Lizard Let’s share some strategies What did you notice? Rotations move points along a circular arc with a specified center and angle The corresponding points are the same distance from the center of rotation It preserves shape
Leaping Lizard Let’s share some strategies What did you notice? What if you connected the corresponding points? In reflections, the line of reflection is the perpendicular bisector of each line segment connecting corresponding points. The lines connecting the corresponding points are parallel to each other It preserves shape
Similarities? Differences? We will fill out the chart with the rules after the warm up tomorrow.
Rigid-motion transformations preserves distance and angle measures within a shape—meaning the pre-image and image are congruent. Also known as an Isometric Transformation or isometry
Extension Write a detailed description of the movement of points from their location in the pre-image to their location in the final image for one of the transformations. (assigned by quad)
HW: page 4-6