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3.4 Parallel Lines and the Triangle Angle Sum Theorem.pdf

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<strong>3.4</strong> <strong>Parallel</strong> <strong>Lines</strong> <strong>and</strong> <strong>the</strong> <strong>Triangle</strong> <strong>Angle</strong> <strong>Sum</strong> <strong>Theorem</strong><br />

October 07, 2009<br />

<strong>3.4</strong> <strong>Parallel</strong> <strong>Lines</strong> <strong>and</strong> <strong>the</strong> <strong>Triangle</strong> <strong>Angle</strong>­<strong>Sum</strong> <strong>Theorem</strong><br />

Objectives:<br />

*Classify triangles <strong>and</strong> find <strong>the</strong> measures of <strong>the</strong>ir angles.<br />

*Use exterior angles of triangles.<br />

Mar 18­12:23 PM<br />

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<strong>3.4</strong> <strong>Parallel</strong> <strong>Lines</strong> <strong>and</strong> <strong>the</strong> <strong>Triangle</strong> <strong>Angle</strong> <strong>Sum</strong> <strong>Theorem</strong><br />

October 07, 2009<br />

Check Skills You'll Need<br />

Classify each angle as acute, right, or obtuse.<br />

1. 2. 3.<br />

Solve each equation.<br />

4. 30 + 90 + x = 180 5. 55 + x + 105 = 180<br />

6. x + 58 = 90 7. 32 + x = 90<br />

Mar 18­12:24 PM<br />

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<strong>3.4</strong> <strong>Parallel</strong> <strong>Lines</strong> <strong>and</strong> <strong>the</strong> <strong>Triangle</strong> <strong>Angle</strong> <strong>Sum</strong> <strong>Theorem</strong><br />

October 07, 2009<br />

Mar 18­12:24 PM<br />

3


<strong>3.4</strong> <strong>Parallel</strong> <strong>Lines</strong> <strong>and</strong> <strong>the</strong> <strong>Triangle</strong> <strong>Angle</strong> <strong>Sum</strong> <strong>Theorem</strong><br />

October 07, 2009<br />

Mar 18­12:25 PM<br />

4


<strong>3.4</strong> <strong>Parallel</strong> <strong>Lines</strong> <strong>and</strong> <strong>the</strong> <strong>Triangle</strong> <strong>Angle</strong> <strong>Sum</strong> <strong>Theorem</strong><br />

October 07, 2009<br />

Mar 18­12:26 PM<br />

5


<strong>3.4</strong> <strong>Parallel</strong> <strong>Lines</strong> <strong>and</strong> <strong>the</strong> <strong>Triangle</strong> <strong>Angle</strong> <strong>Sum</strong> <strong>Theorem</strong><br />

October 07, 2009<br />

Mar 18­12:27 PM<br />

6


<strong>3.4</strong> <strong>Parallel</strong> <strong>Lines</strong> <strong>and</strong> <strong>the</strong> <strong>Triangle</strong> <strong>Angle</strong> <strong>Sum</strong> <strong>Theorem</strong><br />

October 07, 2009<br />

Classify each triangle by its angles.<br />

Classify each triangle by its sides.<br />

Mar 18­12:27 PM<br />

7


<strong>3.4</strong> <strong>Parallel</strong> <strong>Lines</strong> <strong>and</strong> <strong>the</strong> <strong>Triangle</strong> <strong>Angle</strong> <strong>Sum</strong> <strong>Theorem</strong><br />

October 07, 2009<br />

Mar 18­12:27 PM<br />

8


<strong>3.4</strong> <strong>Parallel</strong> <strong>Lines</strong> <strong>and</strong> <strong>the</strong> <strong>Triangle</strong> <strong>Angle</strong> <strong>Sum</strong> <strong>Theorem</strong><br />

October 07, 2009<br />

Mar 18­12:28 PM<br />

9


<strong>3.4</strong> <strong>Parallel</strong> <strong>Lines</strong> <strong>and</strong> <strong>the</strong> <strong>Triangle</strong> <strong>Angle</strong> <strong>Sum</strong> <strong>Theorem</strong><br />

October 07, 2009<br />

Mar 18­12:28 PM<br />

10


<strong>3.4</strong> <strong>Parallel</strong> <strong>Lines</strong> <strong>and</strong> <strong>the</strong> <strong>Triangle</strong> <strong>Angle</strong> <strong>Sum</strong> <strong>Theorem</strong><br />

October 07, 2009<br />

Mar 18­12:29 PM<br />

11


<strong>3.4</strong> <strong>Parallel</strong> <strong>Lines</strong> <strong>and</strong> <strong>the</strong> <strong>Triangle</strong> <strong>Angle</strong> <strong>Sum</strong> <strong>Theorem</strong><br />

October 07, 2009<br />

Mar 18­12:29 PM<br />

12


<strong>3.4</strong> <strong>Parallel</strong> <strong>Lines</strong> <strong>and</strong> <strong>the</strong> <strong>Triangle</strong> <strong>Angle</strong> <strong>Sum</strong> <strong>Theorem</strong><br />

October 07, 2009<br />

Homework:<br />

page 150<br />

(1 ­ 9, 18 ­ 27)<br />

Mar 18­12:29 PM<br />

13

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