This document discusses transformations and reflections in geometry. It provides the rules for reflecting points and shapes over lines like the x-axis, y-axis, and y=x line. Examples are given of reflecting triangles and points over these lines. Students are assigned reading and homework problems applying reflection rules to different geometric objects.

1. Aim: What is a transformation and how do we do reflections? MB43 2/23/09 Lomas Do Now: Reflect Δ ABC in the y-axis What is the rule for reflecting in the y-axis? 1) What does this mean? 2) 3) What does it mean to transform? x 2x + 3 f 4) A B C HW: Read 560-572 Do 565 #1-8 Do 572-5 #1-16col, 3-18col, 27 (17 easy problems)

2. Aim: What is a transformation and how do we do reflections? MB43 2/23/09 Lomas Work Together: What other rules are there for reflections? HW: Read 560-572 Do 565 #1-8 Do 572-5 #1-16col, 3-18col, 27 (17 easy problems)

3. Function Rules for Reflection: P(x,y) P'(-x,y) y-axis P(x,y) P'(x,-y) x-axis P(x,y) P'(y,x) y=x P(x,y) P'(-x,-y) origin r y-axis r x-axis r y=x r o Aim: What is a transformation and how do we do reflections? MB43 2/23/09 Lomas P(x,y) P'(-y,-x) y=-x r y=-x HW: Read 560-572 Do 565 #1-8 Do 572-5 #1-16col, 3-18col, 27 (17 easy problems)

4. Reflect the triangle with vertices: (-3,2),(3,4), & (-3,-5) over the y-axis Reflect the point defined by (3,-5) over the origin. Reflect the triangle with vertices: (-3,-1), (-5,4), & (-3,-3) over the line y = x. Reflect the point defined by (4,-1) over the x-axis. Reflect the triangle with vertices: (-3,4),(-4,2), & (-2,4) over the x-axis. Reflect the triangle with vertices: (-4,-3),(-4,-4), & (-3,-4) over the origin. 1) 2) 3) 4) 5) 6) Aim: What is a transformation and how do we do reflections? MB43 2/23/09 Lomas HW: Read 560-572 Do 565 #1-8 Do 572-5 #1-16col, 3-18col, 27 (17 easy problems)

5. Aim: What is a transformation and how do we do reflections? MB43 2/23/09 Lomas HW: Read 560-572 Do 565 #1-8 Do 572-5 #1-16col, 3-18col, 27 (17 easy problems)