Embed Size (px)
DESCRIPTION
Lesson 3-1. Parallel Lines and Transversals. Ohio Content Standards:. Ohio Content Standards:. Formally define geometric figures. Ohio Content Standards:. Recognize and apply angle relationships in situations involving intersecting lines, perpendicular lines and parallel lines. - PowerPoint PPT Presentation
Citation preview
Lesson 3-1
Parallel Lines and Transversals
Ohio Content Standards:
Ohio Content Standards:
Formally define geometric figures.
Ohio Content Standards:
Recognize and apply angle relationships in situations involving intersecting lines,
perpendicular lines and parallel lines.
Ohio Content Standards:Recognize the angles
formed and the relationship between the angles when two lines
intersect and when parallel lines are cut by a
transversal.
Skew Lines
Skew Lines
Lines that do not intersect and are
not coplanar.
Name all planes that are parallel to plane AEF.
B
H
G F
E
DC
A
Name all segments that intersect AF.
B
H
G F
E
DC
A
Name all segments that are parallel to DC.
B
H
G F
E
DC
A
Name all segments that are skew to AD.
B
H
G F
E
DC
A
Transversal
Transversal
A line that intersects two or more lines in a
plane at different points.
Identify the sets of lines to which each given line is a
transversal.
v
zy
xw
u
Identify the sets of lines to which each given line is a
transversal.
line v
v
zy
xw
u
Identify the sets of lines to which each given line is a
transversal.
line y
v
zy
xw
u
Identify the sets of lines to which each given line is a
transversal.
line u
v
zy
xw
u
Identify the sets of lines to which each given line is a
transversal.
line w
v
zy
xw
u
exterior angles
14 3
2
5 678
p
r
q
exterior angles
14 3
2
5 678
p
r
q
8 7, 2, ,1
interior angles
14 3
2
5 678
p
r
q
interior angles
14 3
2
5 678
p
r
q
6 5, 4, ,3
consecutive interior angles
14 3
2
5 678
p
r
q
consecutive interior angles
14 3
2
5 678
p
r
q
5 and 4 6, and 3
alternate exterior angles
14 3
2
5 678
p
r
q
alternate exterior angles
14 3
2
5 678
p
r
q
8 and 2 7, and 1
alternate interior angles
14 3
2
5 678
p
r
q
alternate interior angles
14 3
2
5 678
p
r
q
6 and 4 5, and 3
corresponding angles
14 3
2
5 678
p
r
q
corresponding angles
14 3
2
5 678
p
r
q
8 and 4 7, and 3
6, and 2 5, and 1
Identify each pair of angles as alternate, interior,
alternate interior, alternate exterior, corresponding,
or consecutive interior angles.
Identify each pair of angles as alternate, interior,
alternate interior, alternate exterior, corresponding,
or consecutive interior angles.
1 2
34
5 678
9 101211
Identify each pair of angles as alternate, interior,
alternate interior, alternate exterior, corresponding,
or consecutive interior angles.
1 2
34
5 678
9 101211
3 and 7
Identify each pair of angles as alternate, interior,
alternate interior, alternate exterior, corresponding,
or consecutive interior angles.
1 2
34
5 678
9 101211
2 and 8
Identify each pair of angles as alternate, interior,
alternate interior, alternate exterior, corresponding,
or consecutive interior angles.
1 2
34
5 678
9 101211
11 and 4
Identify each pair of angles as alternate, interior,
alternate interior, alternate exterior, corresponding,
or consecutive interior angles.
1 2
34
5 678
9 101211
1 and 7
Identify each pair of angles as alternate, interior,
alternate interior, alternate exterior, corresponding,
or consecutive interior angles.
1 2
34
5 678
9 101211
9 and 3
Identify each pair of angles as alternate, interior,
alternate interior, alternate exterior, corresponding,
or consecutive interior angles.
1 2
34
5 678
9 101211
10 and 7
Assignment:
Pgs. 129 - 131 22-46 evens, 62-72 evens
