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# Rotations

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### Rotations

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