1. Angles and Lines

2. What do we know about angles?

3. Where can we see angles in everyday life?

4. Important Vocabulary Vertex Ray Angles Right Angles Acute Angles
Obtuse Angles
Straight Angles
Complementary Angles
Supplementary Angles

5. Vertex
Vertex- A point where two or more straight lines or rays meet

6. Which is the vertex?

7. Ray
A line with a start point but no end point

8. Angles
The amount of turn between two straight lines that have a common end point (the vertex).

9. Where are the angles?

10. Naming Angles
To name an angle we use the outermost points on the rays and the vertex.
Angle GHF
Angle FHG
GHF
FHG

11. You Try! Name the angles D F E

12. Right Angle
Right angle-An angle which is equal to 90°

13. Acute Angle
Acute angle- an angle that is less than 90°

14. Obtuse Angles
Obtuse Angle- an angle that is greater than 90° but less than 180°

15. Straight Angle
Straight Angle- an angle that is 180° exactly

16. Time to Practice!

17. Name and Classify

18. Complementary Angles
Complementary Angles- angles that are next to each other and add up to 90°

19. Which are Supplementary Angles?
Supplementary Angles-when two angles add up to 180 degrees

20. What is the missing measure?
To find the missing measure we need to follow these steps:
Identify as complementary or supplementary
Subtract

21. Find the Missing Measure

22. Find the Missing Measure

23. Find the Missing Measure

24. Find the Missing Measure

25. Let’s Practice

26. Let’s Practice

27. Lines To name a line you use the outermost point
Indicates by the arrows on both sides

28. Lines
A straight series of points that has no start point or not end point and put a line with arrows above it PQ QP

29. Name the following Lines

30. Types of Lines
Parallel Lines
Perpendicular Lines
Intersecting

31. Parallel Lines
are always the same distance apart (called "equidistant"), and will never meet

32. Which are Parallel Lines

33. Naming Parallel Lines
To name parallel lines we name each line individually (outermost points)
To indicate lines are parallel we use the symbol
Example: AB CD

34. Practice
Name the following parallel lines

35. Perpendicular Lines
Lines that are at right angles (90°) to each other when they intersect

36. Which are perpendicular lines?

37. Naming Perpendicular Lines
To name perpendicular lines we name each line individually (outermost points)
To indicate lines are perpendicular we use the symbol
Example: AB CD

38. Name the Following

39. Which is which?

40. Intersecting Lines
Lines that overlap or cross at a specific point, called the intersect

41. New Vocabulary Congruent Transversal Vertical Angles Adjacent Angles
Corresponding Angles
Alternate Interior Angles
Alternate Exterior Angles
Consecutive Interior Angles

42. Congruent
The same size

43. Transversal
A line that crosses a set of parallel lines

44. Vertical Angles
Vertical Angles are the angles opposite each other and share the same vertex
vertical angles are equal

45. Corresponding Angles
The angles in matching corners are called Corresponding Angles.
Think about if you cut and placed

46. Alternate Interior Angles
The pairs of angles on opposite sides of the transversal but inside the two lines are called Alternate Interior Angles.
Alternate Interior angles are congruent

47. Alternate Interior Angles
3 6
5 4

48. Alternate Exterior Angles
The pairs of angles on opposite sides of the transversal but outside the two lines are called Alternate Exterior Angles.
These angles are congruent

49. Alternate Exterior Angles
2 8
1 7

50. Consecutive Interior Angles
The pairs of angles on one side of the transversal but inside the two lines are called Consecutive Interior Angles.
Their sum is 180°

51. Consecutive Interior Angles

52. Adjacent Angles
Two angles are Adjacent when they have a common side and a common vertex (corner point) and don't overlap.
Angle ABC is adjacent to angle CBD
Because: they have a common side (line CB) they have a common vertex (point B)

53. Adjacent Angles
Adjacent Angles
1 and 2
3 and 4
5 and 6
7 and 8

54. Which is which? Vertical Corresponding Alternate Exterior
Adjacent Alternate Interior Consecutive

55. Practice Vertical Corresponding Alternate Exterior
Adjacent Alternate Interior Consecutive

56. Practice Vertical Corresponding Alternate Exterior
Adjacent Alternate Interior Consecutive

57. Practice Vertical Corresponding Alternate Exterior
Adjacent Alternate Interior Consecutive

58. What is the missing measure?

59. What is the missing measure?

60. What is the missing measure?

61. What is the missing measure?

62. What is the missing measure?

63. What is the missing measure?5

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65. What is the missing measure?

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73. What is the missing measure?

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75. What is the missing measure?