Identifying Pairs Of Lines And Angles Worksheet With Answers
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93.1 Identify Pairs of Lines and Angles
Obj.:
Identify angle pairs formed by three intersecting lines.
Key Vocabulary
• Parallel lines - Two lines are parallel lines 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 that
do not intersect
are parallel planes.
• Transversal - A transversal is a
line
that
intersects
two or more coplanar
lines
at
different points.
• Corresponding angles -
• Alternate interior angles
Two angles are corresponding
Two angles are alternate interior
angles if they have corresponding
angles if they lie
between
the two
∠2
positions. For example,
and
lines and on
opposite
sides of the
∠6
are
above
the lines and to the
transversal.
right
of the transversal t.
• Alternate exterior angles-
• Consecutive interior angles -
Two angles are alternate exterior
Two angles are consecutive
angles if they lie
outside
the two
interior angles if they lie
between
lines and on opposite
sides
of the
the two lines and on the
same
transversal.
side
of the transversal.
Lines
m
and
n
are parallel lines
(m //
n).
Lines
m
and
k
are skew lines.
Planes
T
and
U
are parallel planes
(T //
U).
Lines
k
and
n
are intersecting lines, and
there is a
plane
(not shown) containing them.
Parallel
Postulate
If there is a
line
and a point
not on
the line, then there is
exactly
one line through the point parallel to the given line.
There is exactly one line through
P
parallel to l.
Perpendicular
Postulate
If there is a
line
and a
point
not on the line, then there is
exactly
one
line through the
point
perpendicular to the given line.
There is exactly one line through
P
perpendicular to l.
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