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3-3 Proving Lines Parallel
Part 2
Theorem 3-8
Through a point outside a line, there is
exactly one line parallel to the given
line.
Theorem 3-9
Through a point outside a line, there is
exactly one line perpendicular to the
given line.
Theorem 3-10
Two lines parallel to a third line are
parallel to each other.
Ways to Prove Two Lines
Parallel
1. Show that a pair of corresponding angles
are congruent.
2. Show that a pair of alternate interior angles
are congruent.
3. Show that a pair of same-side interior
angles are supplementary.
4. In a plane show that both lines are
perpendicular to a third line.
5. Show that both lines are parallel to a third
line.

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3 3 Part 2 Proving Lines Parallel

  • 1. 3-3 Proving Lines Parallel Part 2
  • 2. Theorem 3-8 Through a point outside a line, there is exactly one line parallel to the given line.
  • 3. Theorem 3-9 Through a point outside a line, there is exactly one line perpendicular to the given line.
  • 4. Theorem 3-10 Two lines parallel to a third line are parallel to each other.
  • 5. Ways to Prove Two Lines Parallel 1. Show that a pair of corresponding angles are congruent. 2. Show that a pair of alternate interior angles are congruent. 3. Show that a pair of same-side interior angles are supplementary. 4. In a plane show that both lines are perpendicular to a third line. 5. Show that both lines are parallel to a third line.