Warm-Up

1
Warm-Up

• What is the difference between the Corresponding
  Angles Theorem and the Corresponding Angles
  Converse Theorem?
• Can you use these to write a biconditional? If
  so, write the biconditional. If not, write not
  possible.

2
Homework Review

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3
Homework Review

• 17. a b, Same Side Interior Angles Converse
  Theorem
• 18. a b, Corresponding Angles Converse Theorem
• 19. a b, Same Side Interior Angles Converse
  Theorem
• 20. None
• 28. 20

4
Section 3.4Using properties of parallel Lines

• SWBAT use properties of parallel lines in
  real-life situations

5
Theorem 3.8 Transitive property of Parallel Lines

• If two lines are parallel to the same line, then
  they are parallel to each other

6
Proving Two Lines are Parallel

• Given m n, n k
• Prove m k

7
Theorem 3.9

• In a plane, if two lines are perpendicular to the
  same line, then they are parallel to each other.

8
Example
9
Theorem 3.10

• In a plane, if a line is perpendicular to one of
  two parallel lines, then it is also perpendicular
  to the other.

10
Example

• Tell whether the statement is sometimes, always,
  or never true
• Two lines that are parallel to the same line are
  parallel to each other
• In a plane, two lines that are perpendicular to
  the same line are parallel to each other
• Two noncoplanar lines that are perpendicular to
  the same line are parallel to each other
• Through a point not on a line you can construct a
  parallel line.