Students become familiar with the construction and parts of an angle.

1. Angles You will learn to name and identify parts of an angle . What You'll Learn 1) Opposite Rays 2) Straight Angle 3) Angle 4) Vertex 5) Sides 6) Interior 7) Exterior Vocabulary

2. Angles ___________ are two rays that are part of a the same line and have only their endpoints in common.

3. Angles ___________ are two rays that are part of a the same line and have only their endpoints in common. Opposite rays

4. Angles ___________ are two rays that are part of a the same line and have only their endpoints in common. Opposite rays X Y Z XY and XZ are ____________.

5. Angles ___________ are two rays that are part of a the same line and have only their endpoints in common. Opposite rays opposite rays X Y Z XY and XZ are ____________.

6. Angles ___________ are two rays that are part of a the same line and have only their endpoints in common. Opposite rays opposite rays The figure formed by opposite rays is also referred to as a ____________. X Y Z XY and XZ are ____________.

7. Angles ___________ are two rays that are part of a the same line and have only their endpoints in common. Opposite rays opposite rays The figure formed by opposite rays is also referred to as a ____________. straight angle X Y Z XY and XZ are ____________.

8. Angles There is another case where two rays can have a common endpoint. R This figure is called an _____. S T

9. Angles There is another case where two rays can have a common endpoint. R This figure is called an _____. angle S T

10. Angles There is another case where two rays can have a common endpoint. R This figure is called an _____. angle Some parts of angles have special names. The common endpoint is called the ______, S T

11. Angles There is another case where two rays can have a common endpoint. R This figure is called an _____. angle Some parts of angles have special names. The common endpoint is called the ______, vertex S T

12. Angles There is another case where two rays can have a common endpoint. R This figure is called an _____. angle Some parts of angles have special names. The common endpoint is called the ______, vertex and the two rays that make up the sides of the angle are called the sides of the angle. side side S T vertex

13. Angles Symbols: An angle is a figure formed by two noncollinear rays that have a common endpoint. Definition of Angle E D F 2 DEF

14. Angles Symbols: An angle is a figure formed by two noncollinear rays that have a common endpoint. Definition of Angle E D F 2 DEF FED

15. Angles Symbols: An angle is a figure formed by two noncollinear rays that have a common endpoint. Definition of Angle E D F 2 DEF E FED

16. Angles Symbols: An angle is a figure formed by two noncollinear rays that have a common endpoint. Definition of Angle E D F 2 DEF 2 E FED

17. Angles 1) Name the angle in four ways. B A 1 C

18. Angles 1) Name the angle in four ways. B A 1 C ABC

19. Angles 1) Name the angle in four ways. B A 1 C ABC CBA

20. Angles 1) Name the angle in four ways. B A 1 C ABC CBA

21. Angles 1) Name the angle in four ways. B A 1 C ABC B CBA

22. Angles 1) Name the angle in four ways. B A 1 C ABC 1 B CBA

23. Angles 1) Name the angle in four ways. 2) Identify the vertex and sides of this angle. B A 1 C ABC 1 B CBA

24. Angles 1) Name the angle in four ways. 2) Identify the vertex and sides of this angle. Point B vertex: B A 1 C ABC 1 B CBA

25. Angles 1) Name the angle in four ways. 2) Identify the vertex and sides of this angle. Point B vertex: sides: B A 1 C ABC 1 B CBA BA and BC

26. Angles W Y X 1) Name all angles having W as their vertex. Z 1 2

27. Angles W Y X 1) Name all angles having W as their vertex. Z 1 2 1

28. Angles W Y X 1) Name all angles having W as their vertex. Z 1 2 1 2

29. Angles W Y X 1) Name all angles having W as their vertex. Z 1 2 1 2 XWZ

30. Angles W Y X 1) Name all angles having W as their vertex. Z 1 2 1 2 2) What are other names for ? 1 XWZ

31. Angles W Y X 1) Name all angles having W as their vertex. Z 1 2 1 2 2) What are other names for ? 1 XWY or YWX XWZ

32. Angles W Y X 1) Name all angles having W as their vertex. Z 1 2 1 2 2) What are other names for ? 1 XWY or YWX 3) Is there an angle that can be named ? W XWZ

33. Angles W Y X 1) Name all angles having W as their vertex. Z 1 2 No! 1 2 2) What are other names for ? 1 XWY or YWX 3) Is there an angle that can be named ? W XWZ

34. Angles An angle separates a plane into three parts: 1) the ______ W Y Z A B

35. Angles An angle separates a plane into three parts: 1) the ______ interior interior W Y Z A B

36. Angles An angle separates a plane into three parts: 1) the ______ 2) the ______ interior A B interior W Y Z

37. Angles An angle separates a plane into three parts: 1) the ______ 2) the ______ interior exterior exterior interior W Y Z A B

38. Angles An angle separates a plane into three parts: 1) the ______ 2) the ______ 3) the _________ interior exterior exterior interior W Y Z A B

39. Angles An angle separates a plane into three parts: 1) the ______ 2) the ______ 3) the _________ interior exterior angle itself exterior interior W Y Z A B

40. Angles An angle separates a plane into three parts: 1) the ______ 2) the ______ 3) the _________ interior exterior angle itself In the figure shown, point B and all other points in the blue region are in the interior of the angle. exterior interior W Y Z A B

41. Angles An angle separates a plane into three parts: 1) the ______ 2) the ______ 3) the _________ interior exterior angle itself In the figure shown, point B and all other points in the blue region are in the interior of the angle. Point A and all other points in the green region are in the exterior of the angle. exterior interior W Y Z A B

42. Angles An angle separates a plane into three parts: 1) the ______ 2) the ______ 3) the _________ interior exterior angle itself In the figure shown, point B and all other points in the blue region are in the interior of the angle. Point A and all other points in the green region are in the exterior of the angle. Points Y, W, and Z are on the angle. exterior interior W Y Z A B

43. Angles B Is point B in the interior of the angle, exterior of the angle, or on the angle? G P

44. Angles B Is point B in the interior of the angle, exterior of the angle, or on the angle? Exterior G P

45. Angles B Is point B in the interior of the angle, exterior of the angle, or on the angle? Exterior Is point G in the interior of the angle, exterior of the angle, or on the angle? G P

46. Angles B Is point B in the interior of the angle, exterior of the angle, or on the angle? Exterior Is point G in the interior of the angle, exterior of the angle, or on the angle? On the angle G P

47. Angles B Is point B in the interior of the angle, exterior of the angle, or on the angle? Exterior Is point G in the interior of the angle, exterior of the angle, or on the angle? On the angle Is point P in the interior of the angle, exterior of the angle, or on the angle? G P

48. Angles B Is point B in the interior of the angle, exterior of the angle, or on the angle? Exterior Is point G in the interior of the angle, exterior of the angle, or on the angle? On the angle Is point P in the interior of the angle, exterior of the angle, or on the angle? Interior G P

49. §3.7 Perpendicular Lines End of Lesson