# 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