The document discusses rotations of points and triangles around an origin. It provides rules for rotating points clockwise and counterclockwise by 90, 180, 270, and 360 degrees. Examples are given of rotating specific points and triangles by various degrees and directions. Homework problems are assigned involving rotating and reflecting points.

1. Aim: What are rotations? MB43 2/25/09 Lomas Do Now: Translate Δ ABC by T -6,2 A translation maps the origin to (-2,4). What is the image of (5,-2) under the same translation? 1) 2) HW Review: 23, 29, 37 3) Solve for x: log x 81 = 9 A B C HW: Read 560-572 Do 565 #18-26

2. Write a description of what you think a rotation is (full sentence) Aim: What are rotations? MB43 2/25/09 Lomas Draw a counterclockwise arrow HW: Read 560-572 Do 565 #18-26

3. Aim: What are rotations? MB43 2/25/09 Lomas Function Rules for Rotations: (all counterclockwise) P(x,y) P'(-x,-y) 180 o P(x,y) P'(-y,x) 90 o P(x,y) P'(y,-x) 270 o R 180 R 90 R 270 Write a rule for R 360 HW: Read 560-572 Do 565 #18-26

4. Rotate the triangle with vertices: (-3,2),(3,4), & (-3,-5) by 90° counterclockwise around the origin. Rotate the point defined by (3,-5) by 90° clockwise around the origin. Rotate the triangle with vertices: (-3,-1), (-5,4), & (-3,-3) by 270 o (ccw) Reflect the point defined by (4,-1) in the origin. Rotate (-4,2) & (-2,4) by 180 o clockwise 1) 2) 3) 4) 5) 6) Aim: What are rotations? MB43 2/25/09 Lomas Rotate the point defined by (4,-1) 180 o . Rotate (-4,-3) by 540 o (ccw) 7) Rotate (-5,-4) by 270 o clockwise 8) HW: Read 560-572 Do 565 #18-26

5. Aim: What are translations? MB43 2/24/09 Lomas HW: Read 560-572 Do 572-5 #21-25, 29-37odd