3.3: Proving Lines parallel

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Presentation transcript:

3.3: Proving Lines parallel

1. Draw AB and AC, where A, B, and C are noncollinear. Review 1. Draw AB and AC, where A, B, and C are noncollinear. Draw opposite rays DE and DF. State the converse of each statement. 3. If a = b, then a + c = b + c.

1. Draw AB and AC, where A, B, and C are noncollinear. Review 1. Draw AB and AC, where A, B, and C are noncollinear. Draw opposite rays DE and DF. State the converse of each statement. 3. If a = b, then a + c = b + c.

In other words, If corresponding angles are __________ then the lines are parallel. If alternate interior angles are __________, then the lines are parallel. If alternate exterior angles are ___________, then the lines are parallel. If same-side interior angles are ____________, then the lines are parallel. **Vertical angles, adjacent angles, and linear pairs do not prove lines being parallel or not.**