Objective: Relate parallel and perpendicular...

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3.3 Parallel and Perpendicular Lines 2011 1 October 13, 2011 3.3 Parallel and Perpendicular Lines Objective: Relate parallel and perpendicular lines.

Transcript of Objective: Relate parallel and perpendicular...

Page 1: Objective: Relate parallel and perpendicular lines.staffweb.psdschools.org/kemotich/Mrs_Motichka...3.3 Parallel and Perpendicular Lines 2011 7 October 13, 2011 For the following examples,

3.3 Parallel and Perpendicular Lines 2011

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October 13, 2011

3.3 Parallel and Perpendicular Lines

Objective:  Relate parallel and perpendicular lines.

Page 2: Objective: Relate parallel and perpendicular lines.staffweb.psdschools.org/kemotich/Mrs_Motichka...3.3 Parallel and Perpendicular Lines 2011 7 October 13, 2011 For the following examples,

3.3 Parallel and Perpendicular Lines 2011

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October 13, 2011

Page 3: Objective: Relate parallel and perpendicular lines.staffweb.psdschools.org/kemotich/Mrs_Motichka...3.3 Parallel and Perpendicular Lines 2011 7 October 13, 2011 For the following examples,

3.3 Parallel and Perpendicular Lines 2011

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October 13, 2011

What do you know about lines a, b and c?  WHY?

What do you know about lines m, n and t?  WHY?

a

bc

m

n

t

Page 4: Objective: Relate parallel and perpendicular lines.staffweb.psdschools.org/kemotich/Mrs_Motichka...3.3 Parallel and Perpendicular Lines 2011 7 October 13, 2011 For the following examples,

3.3 Parallel and Perpendicular Lines 2011

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October 13, 2011

Page 5: Objective: Relate parallel and perpendicular lines.staffweb.psdschools.org/kemotich/Mrs_Motichka...3.3 Parallel and Perpendicular Lines 2011 7 October 13, 2011 For the following examples,

3.3 Parallel and Perpendicular Lines 2011

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October 13, 2011

Proof of Theorem 3­10

Given: 

Prove:

rs

12 t

Statements Reasons

Page 6: Objective: Relate parallel and perpendicular lines.staffweb.psdschools.org/kemotich/Mrs_Motichka...3.3 Parallel and Perpendicular Lines 2011 7 October 13, 2011 For the following examples,

3.3 Parallel and Perpendicular Lines 2011

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October 13, 2011

Page 7: Objective: Relate parallel and perpendicular lines.staffweb.psdschools.org/kemotich/Mrs_Motichka...3.3 Parallel and Perpendicular Lines 2011 7 October 13, 2011 For the following examples,

3.3 Parallel and Perpendicular Lines 2011

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October 13, 2011

For the following examples, a, b, c, and d are distinct lines in the same plane.  Each example shows different combinations of relationships between a and b, b and c, and c and d.  For each combination of the three relationships, how are a and d related?

Example #1:  a || b, b  c, c || d

Example #2:  a     b, b || c, c || d

Page 8: Objective: Relate parallel and perpendicular lines.staffweb.psdschools.org/kemotich/Mrs_Motichka...3.3 Parallel and Perpendicular Lines 2011 7 October 13, 2011 For the following examples,

3.3 Parallel and Perpendicular Lines 2011

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October 13, 2011

Homework:  page 143 (1, 3, 14 ­ 21, 26 ­ 29)