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Lesson 3.1
Lines Cut By A Transversal
Lesson 3-1
Transversal – A line that intersects two or more
coplanar lines at different points
 Skew lines- lines that do not intersect and are not
coplanar.
Name all planes that are parallel to plane AEF.
Answer: plane BHG
Name all segments that intersect
Answer:
Name all segments that are parallel to
Answer:
Name all segments that are skew to
Answer:
Use the figure to name each of the
following.
a. Name all planes that are parallel to plane RST.
Answer: plane XYZ
b.
Answer:
c.
Answer:
d.
Answer:
BUS STATION Some of a bus station’s driveways are shown. Identify
the sets of lines to which line v is a transversal.
Answer: If the lines are extended, line v intersects lines u, w, x, and z.
BUS STATION Some of a bus station’s driveways are shown. Identify
the sets of lines to which line y is a transversal.
Answer: lines u, w, x, z
BUS STATION Some of a bus station’s driveways are shown. Identify
the sets of lines to which line u is a transversal.
Answer: lines v, x, y, z
BUS STATION Some of a bus station’s driveways are shown. Identify
the sets of lines to which line w is a transversal.
Answer: lines v, x, y, z
HIKING A group of nature trails is shown. Identify the sets of lines to
which each given line is a transversal.
a. line a
Answer: lines c, d, e, f
b. line b
Answer: lines c, d, e, f
c. line c
Answer: lines a, b, d, e, f
d. line d
Answer: lines a, b, c, e, f
Vocabulary
 Vertical Angles – non-adjacent, non-overlapping
congruent angles formed by two intersecting lines . (They
share a common vertex.)

Linear Pairs of Angles –two adjacent angles
whose non-shared rays form a straight angle
 Corresponding Angles – angles that lie on the
same side of the transversal and in corresponding positions
relative to the parallel lines
Vocabulary
 Alternate Interior Angles – nonadjacent angles
between the parallel lines that lie on opposite sides of the
transversal
 Alternate Exterior Angles – nonadjacent angles
outside the parallel lines that lie on opposite sides of the
transversal
 Same-Side Interior Angles – angles that lie on the
same side of the transversal and between the parallel lines
Identify
as alternate interior, alternate exterior,
corresponding, or consecutive interior angles.
Answer: corresponding
Identify
as alternate interior, alternate exterior,
corresponding, or consecutive interior angles.
Answer: alternate exterior
Identify
as alternate interior, alternate exterior,
corresponding, or consecutive interior angles.
Answer: corresponding
Identify
as alternate interior, alternate exterior,
corresponding, or consecutive interior angles.
Answer: alternate exterior
Identify
as alternate interior, alternate exterior,
corresponding, or consecutive interior angles.
Answer: alternate interior
Identify
as alternate interior, alternate exterior,
corresponding, or consecutive interior angles.
Answer: consecutive interior
Identify each pair of angles as alternate interior, alternate exterior,
corresponding, or consecutive interior angles.
a.
Answer: consecutive interior
b.
Answer: corresponding
c.
Answer: alternate exterior
Identify each pair of angles as alternate interior, alternate exterior,
corresponding, or consecutive interior angles.
d.
Answer: alternate interior
e.
Answer: corresponding
f.
Answer: alternate exterior
Homework 10/6
 Lesson 3-1 p.126 #22-47 (25probs)