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 E F

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: 1.Identify as complementary or supplementary 2.Subtract

21. + Find the Missing Measure

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25. + Let’s Practice

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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 36543654

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 28172817

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 1 and 2 3 and 4 5 and 6 7 and 8

54. + Which is which? VerticalCorrespondingAlternate Exterior AdjacentAlternate InteriorConsecutive

55. + Practice VerticalCorrespondingAlternate Exterior AdjacentAlternate InteriorConsecutive

56. + Practice VerticalCorrespondingAlternate Exterior AdjacentAlternate InteriorConsecutive

57. + Practice VerticalCorrespondingAlternate Exterior AdjacentAlternate InteriorConsecutive

58. + What is the missing measure?

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63. + 5

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65. + E= 150

66. + What is the missing measure? 0

67. + 0

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