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3.1

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3.1 Identify Pairs of Lines and Angles Parallel Lines: two lines are parallel if they do not intersect AND are coplanar Skew Lines: Two lines are skew lines if ... – PowerPoint PPT presentation

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Title: 3.1


1
3.1 Identify Pairs of Lines and Angles
  • Parallel Lines two lines are parallel if they
    do not intersect AND are coplanar
  • Skew Lines Two lines are skew lines if they do
    not intersect and ARE NOT coplanar.
  • Parallel Planes Two planes are parallel if they
    do NOT intersect.

2
3.1 Identify Pairs of Lines and Angles
3
3.1 Identify Pairs of Lines and Angles
  • Example 1
  • Think of each segment in the figure as part of a
    line. Which line(s) or plane(s) in the figure
    appear to fit the description?
  • Line(s) // to Line CD and
  • containing point A
  • Line(s) skew to Line CD and
  • containing point A.

4
3.1 Identify Pairs of Lines and Angles
  • Example 1
  • Think of each segment in the figure as part of a
    line. Which line(s) or plane(s) in the figure
    appear to fit the description?
  • Line(s) perpendicular to Line CD
  • and containing point A.
  • Plane(s) parallel to plane EFG
  • and containing point A.

5
3.1 Identify Pairs of Lines and Angles
  • PARALLEL AND PERPENDICULAR LINES
  • Through a point not on a line,
  • there are infinitely many lines.
  • Exactly one parallel.
  • Exactly one perpendicular.

6
3.1 Identify Pairs of Lines and Angles
7
3.1 Identify Pairs of Lines and Angles
  • Example 2
  • The figure shows a swing set on a playground.
  • Name a pair of perpendicular lines.
  • Name a pair of parallel line.
  • Is Line DH perp to Line LM? Explain?

8
3.1 Identify Pairs of Lines and Angles
  • A transversal is a line that intersects two or
    more coplanar lines at different points.

9
3.1 Identify Pairs of Lines and Angles
  • Example 3
  • Identify all pairs of angles of the given type.
  • Corresponding
  • Alternate Interior
  • Alternate Exterior
  • Consecutive Interior

10
3.1 Identify Pairs of Lines and Angles
  • Example 4
  • Classify the pair of numbered angles.
  • a. b.
  • c.
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