1. LINES AND ANGLES

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

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

4. Ex. of Parallel Lines
Streets: N Laramie and N Leclaire

5. PERPENDICULAR LINES Def: Lines that intersect to form a right angle.
Illustration:
Notation: m  n
Key Fact: 4 right angles are formed. m n
Do Not Assume, You must be told it is a right angle!!

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

7. Transversal Def: a line that intersects two lines at different points
Illustration: t t t

8. Vertical Angles
Two angles that are only touching by a vertex (no sides) and are congruent angles. t 1 2 3 4 5 6 7 8

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

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

11. Supplementary Angles/ Linear Pair
Find the measures of the missing angles t ?
108 
72  ?
108 
After finding one angle, the other is a Vertical angle to it!!!!

12. Corresponding Angles Two angles that occupy corresponding positions. t
Top Left
Top Right 1 2 3 4 5 6 7 8
Bottom Left
Bottom Right
Top Left
Top Right
Bottom Left
Bottom Right

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

14. Alternate Interior Angles
Two angles that lie between parallel lines on opposite sides of the transversal t 1 2 3 4 5 6 7 8

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

16. Alternate Exterior Angles
Two angles that lie outside parallel lines on opposite sides of the transversal t 1 2 3 4 5 6 7 8

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

18. Consecutive Interior Angles
Two angles that lie between parallel lines on the same sides of the transversal t 1 2 3 4 5 6 7 8

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

20. Corresponding 5 6 4 7 3 8 2 t 1

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

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

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

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

25. LINES AND ANGLES Part II: Equations

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

27. 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

28. 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

29. 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

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