1. LINES AND ANGLES

2. PARALLEL LINES 28 Def: line that do not intersect. Illustration:
Notation: l || m AB || CD A B C D l m
p. 129

3. Examples of Parallel Lines
Hardwood Floor
Opposite sides of windows, desks, etc.
Parking slots in parking lot
Parallel Parking
Streets: Laramie & LeClaire

4. 29
PERPENDICULAR LINES
Def: Lines that intersect to form a right angle.
Illustration:
Notation: m  n
Key Fact: 4 right angles are formed. m n
p. 79

5. Ex. of Perpendicular Lines
Window panes
Streets: Belmont and Cicero

6. 30
Transversal
Def: a line that intersects two lines at different points
Illustration: t
p. 131

7. Vertical Angles 1   4 2   3 5   8 6   7
Two angles that are only touching by a vertex and are congruent angles. t
1   4
2   3
5   8
6   7 1 2 3 4 5 6 7 8

8. Vertical Angles Find the measures of the missing angles t 125  ?
55  ?
55 

9. Supplementary Angles/ Linear Pair
Two angles that form a line (sum=180) 1 2 3 4 5 6 7 8 t
1+2=180
2+4=180
4+3=180
3+1=180
5+6=180
6+8=180
8+7=180
7+5=180

10. Supplementary Angles/ Linear Pair
Find the measures of the missing angles t ?
108 
72  ?
108 

11. Corresponding Angles 1   5 2   6 3   7 4   8 30
Two angles that occupy corresponding positions. t
1   5
2   6
3   7
4   8
Top Left
Top Right 1 2 3 4 5 6 7 8
Bottom Left
Bottom Right
Top Left
Top Right
Bottom Left
Bottom Right
p. 131 & 143

12. Corresponding Angles Find the measures of the missing angles t 145 
35  ?
145 

13. Alternate Interior Angles30
Alternate Interior Angles
Two angles that lie between parallel lines on opposite sides of the transversal t
3   6
4   5 1 2 3 4 5 6 7 8
p. 131 & 143

14. Alternate Interior Angles
Find the measures of the missing angles t
82 
98  ?
82 

15. Alternate Exterior Angles30
Alternate Exterior Angles
Two angles that lie outside parallel lines on opposite sides of the transversal t
2   7
1   8 1 2 3 4 5 6 7 8
p. 131 & 143

16. Alternate Exterior Angles
Find the measures of the missing angles t
120  ?
60 
120 

17. Consecutive Interior Angles30
Consecutive Interior Angles
Two angles that lie between parallel lines on the same sides of the transversal t
3 +5 = 180
4 +6 = 180 1 2 3 4 5 6 7 8
p. 131 & 143

18. Consecutive Interior Angles
Find the measures of the missing angles t
135  ?
45 

19. Corresponding 4 and 2 3 and 1 5 and 7 6 and 8 t 5 6 4 7 3 8 2

20. Alternate Interior
3 and 7
2 and 6 5 6 4 7 3 8 2 t 1

21. Alternate Exterior
5 and 1
4 and 8 5 6 4 7 3 8 2 t 1

22. Consecutive Interior 5
3 and 2
6 and 7 6 4 7 3 8 2 t 1

23. Find all angle measurest
113 
67  1
67  2 3
113 
113  5
67  8
67  6
113  7

24. LINES AND ANGLES Part II: Equations

25. Alternate Exterior Angles
Name the angle relationship
Are they congruent or supplementary?
Find the value of x  t
5x = 125
125 
x = 25
5x 

26. Corresponding Angles Name the angle relationship
Are they congruent or supplementary?
Find the value of x  t
2x + 1 = 151
2x + 1
2x = 150
151
x = 75

27. Consecutive Interior Angles
Name the angle relationship
Are they congruent or supplementary?
Find the value of x
supp t
7x = 180
7x + 96 = 180
81
7x = 84
7x + 15
x = 12

28. Alternate Interior Angles
Name the angle relationship
Are they congruent or supplementary?
Find the value of x  t
2x + 20 = 3x
- 2x x 3x
20 = x
2x + 20

29. Homework Honors Class: pg. 13-14 (1 - 12)
All Other Common Core Classes:
pg (1 - 7, 9, 11, 12) Q1