Transcript Lesson 3-1B PowerPoint

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GLENCOE DIVISION
Glencoe/McGraw-Hill
8787 Orion Place
Columbus, Ohio 43240
Lesson 3-1 Parallel Lines and Transversals
Lesson 3-2 Angles and Parallel Lines
Lesson 3-3 Slopes of Lines
Lesson 3-4 Equations of Lines
Lesson 3-5 Proving Lines Parallel
Lesson 3-6 Perpendiculars and Distance
Example 2 Identify Transversals
Example 3 Identify Angle Relationships
OBJECTIVE: To name angles formed to a par of
lines and a transversal (2.9.8E) (M8.C.1.1.3)
KEY CONCEPTS
A transversal is a line
That intersects two or
more lines in a plane
at different points.
Transversals and Angles
Exterior angles 1, 2, 7, 8
Interior angles 3, 4, 5, 6
Cons. Int.
4+5, 3+6
angles
Alt. Ext.
1+ 7, 2+ 8
Angles
Alt. Int. Angles 4+6, 3+5
Corresponding 1+ 5, 2+ 6,
4+ 8, 3+ 7
Angles
Transversal t
intersects lines l
and m.
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
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
Identify each pair of angles as alternate interior,
alternate exterior, corresponding, or consecutive
interior angles.
1. 10+ 15
Alt. Interior Angles
2. 4+ 7
Consecutive Int. s
3. 11+ 14
Alt. Exterior Angles
4. 10+ 14
Corresponding Angles
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