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Parallel and Perpendicular LinesPowerPoint Presentation

Parallel and Perpendicular Lines

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### Angles formed by parallel lines & transversals

Lines & Angles

- Parallel Lines (ll) - are coplanar and do not intersect.
- Perpendicular Lines (⏊) – intersect at 90ํangles.
- Skew Lines – are not coplanar. Skew lines are not parallel and do not intersect.
- Parallel Planes – are planes that do not intersect.
- **See diagram on pg. 146 for examples**

Examples:

What are some examples of perpendicular lines??

Angle Pairs formed by a Transversal

- Transversal – a line that intersects two coplanar lines at two different points. The transversal t and the other two lines r and s for eight angles.
- Corresponding angles – lie on the same side of the transversal t, on the same sides of lines r and s. (∠1 & ∠5)
- Alternate interior angles – nonadjacent angles that lie on opposite sides of the transversal t, between lines r and s. (∠3 & ∠5)
- Alternate exterior angles – lie on opposite sides of the transversal t, outside lines r and s.(∠2 & ∠8)
- Same-side interior angles – lie on the same side of the transversal t, between lines r and s. (∠3 & ∠6)

Section 3-2

Corresponding Angles Postulate

- If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.
- Name the pairs of corresponding angles.

Alternate Interior Angles Theorem

- If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.
- What are the alt. int. angles?

Alternate Exterior Angles Theorem

- If two parallel lines are cut by a transversal, then the two pairs of alternate exterior angles are congruent.
- Exterior angles (using correct lingo on how to name an angle)??

Same-Side Interior Angles Theorem

- If two parallel lines are cut by a transversal, then the two pairs of same-side interior angles are supplementary.
- Example???

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