1. How are Vertical Angle created?
Vertical Angles Date:
1. Write down the Essential Question (EQ). 2. Work on the Warm up.
Essential Question
How are Vertical Angle created?
Warm Up: Explain the two pictures 1. 2.

2. There is a line that is cut by another line.𝐴° 𝐵°

3. Core Concept
Two adjacent angles are a linear pair if their sides from a line.

4. There is a line that is cut by another line.𝐴° 𝐵° 𝐵° 𝐴°

5. Core Concept
Two angles are vertical angles if they are not adjacent and their sides are formed by two intersecting lines.

7. There is a line that is cut by another line.
120°
60°
60°
120°

14. Parallel Lines and Transversals Date: 10.09.2018
1. Write down the Essential Question (EQ). 2. Work on the Warm up.
Essential Question
How does the transversals line affect the angles on a parallel lines ?
Warm Up: Explain the joke

15. There is a line that is cut by another line.𝐴° 𝐵° 𝐵° 𝐴°

16. Now extend the red cut line. Its now cut through a parallel black line 𝐴° 𝐵° 𝐵° 𝐴°

17. 𝐴° 𝐵° 𝐵° 𝐴° Vocabulary Symbols to show that the two lines are parallel
The red line is called the transversal line. It is a line that cut/intersection two or more lines at different point

18. Watch the line slides 𝐴° 𝐵° 𝐵° 𝐴°

19. Watch the line slides back𝐴° 𝐵° 𝐵° 𝐴°

20. 𝐴° 𝐵° 𝐵° 𝐴°

21. 𝐴° 𝐵° 𝐵° 𝐴° 𝐴° 𝐵° 𝐵° 𝐴° Core Concept “A”
Because the lines are parallel,
they shares the same
identical angles. 𝐴° 𝐵° 𝐵° 𝐴°

22. 𝐴° 𝐵° 𝐵° 𝐴° 𝐴° 𝐵° 𝐵° 𝐴°

23. 𝐴° 𝐵° 𝐵° 𝐴° 𝐴° 𝐵° 𝐵° 𝐴° Core Concept “B” Because the inside angles
have to be a linear pair.. 𝐴° 𝐵° 𝐵° 𝐴°

24. Replace the variable with numbers1 𝐴° 𝐵° 2 𝐵° 3 4 𝐴° 5 𝐴° 𝐵° 6 𝐵° 7 8 𝐴°

25. 1 2 3 4 5 6 7 8

26. 1 2 3 4 5 6 7 8 Core Concept Two angles are corresponding
angles when they have the same corresponding position. 5 6 7 8

27. 1 2 3 4 5 6 7 8 Core Concept corresponding angles ∠1 ≅∠5 ∠2 ≅∠6 ∠3 ≅∠7
∠4 ≅∠8 5 6 7 8

28. 1 2 3 4 5 6 7 8

29. 1 2 3 4
Two angles are alternate interior angles when they are on opposite side and lie inside the two parallel lines. 5 6 7 8

30. 1 2 3 4
Alternate Interior
Angles
∠3 ≅∠6
∠4 ≅∠5 5 6 7 8

31. 1 2 3 4 5 6 7 8

32. 1 2 3 4
Two angles are alternate exterior angles when they are on opposite side and lie outside the two parallel lines. 5 6 7 8

33. 1 2 3 4
Alternate exterior
Angles
∠1 ≅∠8
∠2 ≅∠7 5 6 7 8

34. 1 2 3 4 5 6 7 8

35. 1 2 3 4
Two angles are consecutive interior angle when they are on the same side and lie inside the two parallel lines. 5 6 7 8

36. 1 2 3 4
Consecutive interior angles
∠3+∠5=180°
∠4+∠6=180° 5 6 7 8

37. Parallel Lines and Transversals Day 2 Date: 10.10.2018
1. Write down the Essential Question (EQ). 2. Work on the Warm up.
Essential Question
How does two angles being congruent help you set up the equation?
Warm Up: Answer the question
What does it mean for
∠1=∠3 𝑜𝑟 ∠2=∠4

44. Parallel Lines and Transversals Day 3 Date: 10.11.2018
1. Write down the Essential Question (EQ). 2. Work on the Warm up.
Essential Question
How does two angles being linear pair help you set up the equation?
Warm Up: Fill in the blank
65+ =180
80+ =180
2 2 𝑥= 𝑥
5 𝑥=1𝑥

45. 67°+𝑥°=180 They are linear pair
𝑥°=113
𝑦°=113 𝑥°= 𝑦° because they are Alternate exterior angles

46. 109°+𝑥°=180 Consecutives interior angles
𝑥°=71
𝑦°= °= 𝑦° because they are Vertical Angles

47. 90°+𝑥°=180 Consecutives interior angles
𝑥°=90
𝑦°=90 𝑥°+ 𝑦°=180 because they are linear pair

48. 65°+𝑦°=180 They are linear pair
𝑦°=115
𝑥°=65 Corresponding angles

49. 80°+𝑥°=180 They are linear pair 𝑥°=100 𝑦°=80 Alternate exterior angles

50. 𝑥°=130 corresponding angles 𝑦°=130 Vertical Angles

57. Angles of Triangle Date: 10.12.2018
1. Turn in your homework to the back table. 2. Write down the Essential Question (EQ). 3. Work on the Warm up.
Essential Question
Why does a triangle have a total of 180°
Warm Up: How do all these picture relate?

58. What is the different?

59. Vocabulary Interior angles: angle that are inside Exterior angles:
angle that are outside

60. 𝟏𝟖𝟎°
A line is 𝟏𝟖𝟎°

61. 𝟏𝟖𝟎°
Now lets bend the line

62. 𝟏𝟖𝟎°

63. 𝟏𝟖𝟎°

64. 𝟏𝟖𝟎°
Notice any thing?

65. 𝟏𝟖𝟎°
Nothing happen to the 𝟏𝟖𝟎°

66. Core Concept B° C° A°
Words: The total interior angles measurement of a triangle is 180°
Equation: ∠𝐴+∠𝐵+∠𝐶=180°

67. Find the value of x a. Step 1: Set up an Equation 32°+48°+𝑥°=180°
Step 2: Solve for 𝑥
80°+𝑥°=180°
−80° −80°
𝑥=100

68. Find the value of y b. Step 1: Set up an Equation 60°+40°+7°=180°
Step 2: Solve for 𝑥
100°+𝑥°=180°
−100° −100°
𝑥=80

69. Find the value of z c. Step 1: Set up an Equation 3𝑧°+(2𝑧+5)°+25°=180°
Step 2: Solve for 𝑥
5𝑧+30=180 Combine like terms
−30 − Subtract 30 to both sides
5𝑧=150
5𝑧 5 = 150 5
𝑧=30
Divide 5 to both sides