Title: PARALLEL LINES, TRANSVERSALS
1PARALLEL LINES, TRANSVERSALS AND SPECIAL ANGLES
Section 3-1, 3-2
Jim Smith JCHS
2A Line That Intersects 2 Or More Lines At
Different Points Is Called A Transversal
transversal
3When This Happens, 8 Angles Are Formed
4This Forms 2 Neighborhoods
5Remember Vertical And Linear Angles
Vertical
3
7
5
1
4
6
8
2
6Linear Pairs
3
7
5
1
4
6
8
2
7These Angles Are Called Consecutive Or Same Side
Angles
8Interior Angles (Between 2 lines)
Exterior Angles (outside the lines)
9Alternate Angles Are On Different Sides Of The
Transversal And From Different Neighborhoods
Alternate Exterior Angles 1 And 8 Angles 2 And
7 Alternate Interior Angles 3 And 6 Angles 4 And
5
5
1
3
7
4
6
8
2
10Consecutive Int Angles 3 and 5 Angles 4 and 6
5
3
4
6
Consecutive Ext Angles 1 and 7 Angles 2 and 8
1
7
8
2
113
7
5
1
4
6
8
2
Corresponding Angles Are Located In The Same
Position In Each Neighborhood
12Name The Angles
- 11 and 15
- 12 and 16
- 13 and 16
- 12 and 18
- 14 and 16
- 14 and 18
- 11 and 14
- 15 and 17
13Check Your Answers
- Corresponding
- Corresponding
- Alt Interior
- Consecutive (SS) Exterior
- Consecutive (SS) Interior
- Corresponding
- Vertical
- Linear
14- Name the angles
- 1 and 3
- 7 and 12
- 11 and 14
- 6 and 10
- 13 and 5
- 9 and 6
- 1 and 13
- 5 and 4
- 7 and 11
- 6 and 11
4
3
2
1
8
7
6
5
12
11
10
9
16
15
14
13
With This Diagram, We Can Work With Angles In
Different Neighborhoods As Long As They Are
Connected By A Transversal
15Check Your Answers
- Corresponding
- Alt. Int.
- Alt. Int.
- Cons. (SS) Int.
- Corresponding
- Alt. Int.
- Consecutive Ext
- Alt. Ext
- Cons. (SS) Int.
- None
16Parallel lines Lines that are coplanar and do not
intersect
17If 2 Parallel Lines Are Cut By A Transversal
Then
Corresponding Angles Are Congruent
Alternate Interior Angles Are Congruent
Same Side Interior Angles Are Supplementary
18Remember Even Without Parallel
Lines Vertical Angles Are Always Congruent
Linear Pairs Are Always Supplementary
19m 1 105
75 75 75 105 105
20119
63
1
2
a
117
119
61
3
4
119
63
63
6
5
b
8
7
119
212x6
4x25
5x-20
3x-10
6x-15
2x-10
4x25 6x-15 25 2x-15 40 2x 20
x
2x6 3x-10 6 x 10 16 x
5x-202x-10 180 7x-30 180
7x 210 x 30