Proving Lines Parallel

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Presentation transcript:

Proving Lines Parallel 3-3 Proving Lines Parallel

Proving Lines Parallel #1 m n 4 1 2 3 8 7 6 5 Postulate

Proving Lines Parallel #2 m n 1 3 4 2 8 7 6 5

8 1 7 2 6 3 5 4 m n Statements Reasons 1. 2. 3. 4.

Proving Lines Parallel #3 m n 4 1 2 3 8 7 6 5

8 1 7 2 6 3 5 4 m n Statements Reasons 1. 2. 3. 4.

Proving Lines Parallel #4 m n 4 1 2 3 8 7 6 5

8 1 7 2 6 3 5 4 m n Statements Reasons 1. 2. 3. 4. 5. 6. 7. 8.

Proving Lines Parallel #5 In a plane, two lines perpendicular to the same line are parallel. m n Theorem k

Proving Lines Parallel #6 Two lines parallel to a third line are parallel to each other. m n Theorem k

Is a II b? Why or Why not? 1. a b 60º a b 60º 2.

What line segments are parallel? Why are they parallel? 3. 56º 124º 53º A B C D 4. E F G H I J 24º 36º 22º 38º

What values for b would l II m? 5. m (b-5)º

6. A B C (3x+20)º (2y-5)º (x+50)º D E F

Homework Copy down (& learn) Theorems 3-8 & 3-9 (They weren’t covered in class today.) Section 3.3 Written Exercises (p. 87-88) #1-23 (all) (Note: Be sure that you copy down all figures onto your homework paper.)