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Parallel and Perpendicular Lines. Lines & Angles Section 3-1. Lines & Angles. Parallel Lines ( ll ) - are coplanar and do not intersect. Perpendicular Lines (⏊) – intersect at 90 ํ angles . Skew Lines – are not coplanar. Skew lines are not parallel and do not intersect.

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parallel and perpendicular lines

Parallel and Perpendicular Lines

Lines & Angles

Section 3-1

lines angles
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
Examples:

What are some examples of perpendicular lines??

angle pairs formed by a transversal
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)
corresponding angles postulate
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
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
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
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???
name em
Name ‘em:
  • Alternate Interior Angles:
  • Alternate Exterior Angles:
name em1
Name ‘em:
  • Corresponding Angles:
  • Same-side:
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