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

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
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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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