1. Lesson 3-1 I can identify relationships between two lines or planes
I can name angles formed by a pair of lines and a transversal
Lesson 3-1

2. lines that are coplanar and don’t intersect
lines that are not coplanar and don’t intersect
planes that don’t intersect

3. 6
plane DCG
plane DAE

4. BC AD CG

5. AE AD BF BC EF DC HG EH DH FG CG

6. a line that intersects two or more lines in a plane
transversal

7. ∠3, ∠4,
∠5, ∠6
∠1, ∠2,
∠7, ∠8

8. ∠4 and ∠5
CIA
∠3 and ∠6
∠1 and ∠8
CEA
∠2 and ∠7

9. ∠4 and ∠6 ∠3 and ∠5 ∠1 and ∠7 ∠2 and ∠8 ∠1 and ∠5 ∠2 and ∠6 ∠3 and ∠7
AIA
∠1 and ∠7
AEA
∠2 and ∠8
∠1 and ∠5
∠2 and ∠6 CA
∠3 and ∠7
∠4 and ∠8

10. AIA
CIA
AEA
CIA
AIA
AEA
CIA CA CA
CIA
AEA
AIA

11. AIA CA
AEA
CIA
AEA
AIA CA

12. FG CD CB GH GF DH BF AE AB EF AD EH

13. ASSIGNMENT:
3-1 worksheet

14. I can use properties of parallel lines to determine if angles are congruent
Lesson 3-2

15. l
l ∥ m m

16. congruent

17. congruent

18. congruent

19. supplementary
m∠3 + m∠5 = 180
m∠4 + m∠6 = 180

20. 125°
55°
55°
125°
55°
55°
125°
125°
125°
55°
55°
55°
125°

21. 92°
106°
92°
74°
92°
106°
88°
74°
106°

22. 80°
100°
80°
68°
80°
68°
100°
112°

23. 2x – 10
= x + 15
x – 10 = 15
x = 25
m∠5 = 40
m∠6 = 40

24. 9x + 12
+ 42
= 180
9x + 54 = 180
9x = 126
x = 14
m∠1 = 138

25. 74°
106°
8x – 6
+ 6x + 46
= 180
+ 6x + 46
14x = 140
9y – 7 = 74
9y = 81
x = 10
y = 9

26. 80°
100°
80°
68°
112°
100°

27. 8x – 10
= 7x
70°
x = 10
6y + 20
+ 70
= 180
6y + 90 = 180
6y = 90
y = 15

28. ASSIGNMENT:
3-2 worksheet

29. Lesson 3-3 I can find the slopes of lines
I can use slopes to determine if lines are parallel or perpendicular
Lesson 3-3

30. rise
run
run
rise
m =
y2 – y1
x2 – x1

31. m =
y2 – y1
x2 – x1
m =
2 – -2
-1 – -3
m =
2 + 2
-1 + 3
m = 4 2
= 2

32. rise
m =
run
m = -1 4
m = 1 -4
= – 1 4

33. y2 – y1
m =
x2 – x1
m =
5 – 5
-3 – 1
m = -4
= 0

34. rise
m =
run
m = 7
= undefined

35. m = -3/5
Have equal slopes
m = -3/5

36. m = -3/5
Have opposite, reciprocal slopes
m = 5/3

37. perpendicular
Slope of AB:
Slope of CD:
m =
7 – -5
4 – -2
m =
-2 – 2
8 – 0
m = 12 6
m = -4 8
= – 1 2
= 2

39. neither
parallel
neither
perpendicular

40. ASSIGNMENT:
3-3 worksheet

41. I can prove that two lines are parallel based on given angle relationships
Lesson 3-4

42. congruent
parallel

43. congruent
parallel

44. congruent
parallel

45. supplementary
parallel

46. AIA ≅ ↔ || lines

47. CIA supplementary ≅ ↔ || lines

48. Not a common transversal

50. ∠3 ≅ ∠1
Given
a || b
Given
CA ≅ → || lines
∠1 ≅ ∠2
∠3 ≅ ∠2
Transitive
c || d
AEA ≅ → || lines

51. Given
Given
Transitive
AIA ≅ → || lines

52. ASSIGNMENT:
3-5 worksheet