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Proving Lines Are Parallel

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Presentation on theme: "Proving Lines Are Parallel"— Presentation transcript:

1 Proving Lines Are Parallel
Chapter 3 Section 3.4 Proving Lines Are Parallel

2 Warm-Up State the converse of each statement.
If <1 is a right angle, then m<1=90 2. If m<1 + m<2=180, then <1 and <2 are supplementary.

3 When two lines are cut by a transversal so that…
Corresponding angles are , then the lines are parallel Corresponding Angle Converse Alternate Interior angles are , then the lines are parallel Alt. Int. Angle Converse. Alternate Exterior angles are  , then the lines are parallel Alt. Ext Angle Converse Consecutive Interior angles are Supplementary , then the lines are parallel Con. Int. Angle Converse

4 Is It Possible to Prove That Lines P and Q Are Parallel
Is It Possible to Prove That Lines P and Q Are Parallel? If So Explain How. 1. 1 2.

5 Is It Possible to Prove That Lines P and Q Are Parallel
Is It Possible to Prove That Lines P and Q Are Parallel? If So Explain How. 3. 1

6 Find the Value of x That Makes p // q
4. 5.

7 Find the Value of x That Makes p // q
6.

8 Give the Choice or Choices That Makes the Statement True
If two lines are cut by a transversal so that alternate interior angles ___________, then the lines are parallel. If two lines are cut by a transversal so that consecutive interior angles ___________, then the lines are parallel.

9 Give the Choice or Choices That Makes the Statement True
If two lines are cut by a transversal so that ____________________ are congruent, then the lines are parallel.

10 Complete the Two Column Proof

11 Write a two column proof
Statements Reasons


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