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Geometry Notes. 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. Example 1-1a. Name all planes that are parallel to plane AEF. - PowerPoint PPT PresentationTRANSCRIPT
Lesson 3.1 Lines Cut By A Transversal
Lesson 3-1Transversal – 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.
Answer: plane XYZ
a. Name all planes that are parallel to plane RST.
b.
c.
d.
Answer:
Answer:
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.
Answer: lines c, d, e, f
Answer: lines c, d, e, f
Answer: lines a, b, d, e, f
a. line a
b. line b
c. line c
d. line d
Answer: lines a, b, c, e, f
VocabularyVertical 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
VocabularyAlternate 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
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 as alternate interior, alternate exterior, corresponding, or consecutive interior angles.
Identify each pair of angles as alternate interior, alternate exterior, corresponding, or consecutive interior angles.
Answer: consecutive interior
Answer: corresponding
Answer: alternate exterior
a.
b.
c.
Identify each pair of angles as alternate interior, alternate exterior, corresponding, or consecutive interior angles.
Answer: alternate interior
Answer: corresponding
Answer: alternate exterior
d.
e.
f.
Homework 10/6Lesson 3-1 p.126 #22-47 (25probs)