Chapter 3.1: Identify Pairs of Lines and Angles - PowerPoint PPT Presentation

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Chapter 3.1: Identify Pairs of Lines and Angles

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Chapter 3.1: Identify Pairs of Lines and Angles M11.B.2.1, M11.C.1.2 What angle pairs are formed by transversals? Parallel lines never intersect are coplanar The ... – PowerPoint PPT presentation

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Title: Chapter 3.1: Identify Pairs of Lines and Angles


1
Chapter 3.1 Identify Pairs of Lines and Angles
2
M11.B.2.1, M11.C.1.2
  • What angle pairs are formed by transversals?

3
  • Parallel lines
  • never intersect
  • are coplanar
  • The symbol for parallel lines is
  • If line l is parallel to line m you can represent
    it with l m .
  • When 2 drawn lines are parallel there will be
    little arrows or triangles on the lines.

4
Are these parallel judging by sight?
R
5
Are these parallel?
S
6
Are these parallel?
7
Are these parallel?
y
z
8
Parallel Planes
  • Parallel planes are two planes that do not
    intersect.

9
Perpendicular Planes
  • Perpendicular Planes are planes that intersect at
    a 90 angle.

10
Skewed Lines
  • Skewed lines do not intersect, but are not
    coplanar.
  • The last 2 examples were examples of skewed lines.

11
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12
Parallel Postulate
  • If there is a line and a point not on that line,
    then you can draw only 1 line parallel to the
    line that passes through that point.

.
13
Perpendicular Postulate
  • If there is a line and a point, then there is one
    line that passes through the point that is
    perpendicular to the line.

.
14
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15
  • Page 150
  • 3-10

16
Transversals
  • Transversals are lines that intersect two or more
    coplanar lines at different points.
  • In other words a line that intersects 2 other
    lines.

?transversal
17
There are 4 different angle relationships created
by a transversal
  • Corresponding angles same side of transversal
    and of the individual lines. (angles 2 and 6)
  • Alternate interior angles on the inside of the 2
    lines, but on either side of the transversal.
    (angles 4 and 5)

18
  • Alternate exterior angles on the outside of the
    lines, but on opposite sides of the transversal.
    (angles 1 and 8)
  • Consecutive interior angles on the inside of the
    lines and on the same side of the transversal.
    (angles 3 and 5)

19
Identify Angles
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