# Download 3.1 Notes Identify Pairs of Lines and Angles Two lines that do not

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Transcript
```3.1 Notes
Identify Pairs of Lines and Angles
Geometry
Two lines that do not intersect are either ______________ or __________.
_____________ are coplanar, and ______________ are not coplanar.
Two lines in the same plane are either _____________ or ____________ in one point. If two
lines intersect at a 90 degree angle, then the two lines are _____________.
Two planes that do not intersect are ______________.
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Example 1: Identify relationships in space. Think of each segment in the picture as part of a
line. Which line(s) or plane(s) appear to fit the description?
a.) Line(s) parallel to ED and containing point C.
b.) Line(s) skew to ED .
c.) Line(s) perpendicular to ED .
d.) Plane(s) parallel to plane ABH.
Parallel Postulate
Perpendicular Postulate
●P
●P
Given line l and point P, there is exactly one
line through P that is ____________ to line l.
Given line l and point P, there is exactly one
line through P that is ______________ to line l.
Example 2: Use the diagram to answer each question.
a.) Name a pair of parallel lines.
b.) Name a pair of perpendicular lines.
c.) Is AB  BC ? Explain.
RECALL: Vertical Angles are formed by two pairs of opposite rays.
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Transversal: A line that ________________ two or more _________________ lines at
different points.
ANGLES FORMED BY TRANSVERSALS
Alternate Interior Angles: Lie between the two
Corresponding Angles: Have corresponding
positions.
lines on opposite sides of the transversal.
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Alternate Exterior Angles: Lie outside of the
Consecutive Interior Angles: Lie between the
two lines on opposite sides of the transversal.
two lines on the same side.
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Example 3: Identify all pairs of angles of the given type.
a.) Corresponding
b.) Alternate Interior
c.) Alternate Exterior
d.) Consecutive Interior
e.) Vertical
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```
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