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Parallel and Perpendicular Lines

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Parallel and Perpendicular Lines

Lines & Angles

Section 3-1

- 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**

What are some examples of perpendicular lines??

- 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)

Angles formed by parallel lines & transversals

Section 3-2

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

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

- 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)??

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

- Alternate Interior Angles:

- Alternate Exterior Angles:

- Corresponding Angles:

- Same-side: