objective: relate parallel and perpendicular...

8
3.3_Parallel_and_Perpendicular_Lines 2010 1 October 04, 2010 Mar 1812:06 PM 3.3 Parallel and Perpendicular Lines Objective: Relate parallel and perpendicular lines.

Upload: others

Post on 22-Jan-2021

1 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: Objective: Relate parallel and perpendicular lines.staffweb.psdschools.org/kemotich/Mrs_Motichka...3.3_Parallel_and_Perpendicular_Lines 2010 7 October 04, 2010 Mar 1812:15 PM For the

3.3_Parallel_and_Perpendicular_Lines 2010 

1

October 04, 2010

Mar 18­12:06 PM

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 2010 7 October 04, 2010 Mar 1812:15 PM For the

3.3_Parallel_and_Perpendicular_Lines 2010 

2

October 04, 2010

Mar 18­12:13 PM

Page 3: Objective: Relate parallel and perpendicular lines.staffweb.psdschools.org/kemotich/Mrs_Motichka...3.3_Parallel_and_Perpendicular_Lines 2010 7 October 04, 2010 Mar 1812:15 PM For the

3.3_Parallel_and_Perpendicular_Lines 2010 

3

October 04, 2010

Mar 18­12:14 PM

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 2010 7 October 04, 2010 Mar 1812:15 PM For the

3.3_Parallel_and_Perpendicular_Lines 2010 

4

October 04, 2010

Mar 18­12:14 PM

Page 5: Objective: Relate parallel and perpendicular lines.staffweb.psdschools.org/kemotich/Mrs_Motichka...3.3_Parallel_and_Perpendicular_Lines 2010 7 October 04, 2010 Mar 1812:15 PM For the

3.3_Parallel_and_Perpendicular_Lines 2010 

5

October 04, 2010

Mar 18­12:15 PM

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 2010 7 October 04, 2010 Mar 1812:15 PM For the

3.3_Parallel_and_Perpendicular_Lines 2010 

6

October 04, 2010

Mar 18­12:16 PM

Page 7: Objective: Relate parallel and perpendicular lines.staffweb.psdschools.org/kemotich/Mrs_Motichka...3.3_Parallel_and_Perpendicular_Lines 2010 7 October 04, 2010 Mar 1812:15 PM For the

3.3_Parallel_and_Perpendicular_Lines 2010 

7

October 04, 2010

Mar 18­12:15 PM

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 2010 7 October 04, 2010 Mar 1812:15 PM For the

3.3_Parallel_and_Perpendicular_Lines 2010 

8

October 04, 2010

Mar 18­12:15 PM

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