Angles (Geometry 3_1)

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

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Angles (Geometry 3_1)

  1. 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. 2. Angles ___________ are two rays that are part of a the same line and have only their endpoints in common.
  3. 3. Angles ___________ are two rays that are part of a the same line and have only their endpoints in common. Opposite rays
  4. 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. 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. 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. 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. 8. Angles There is another case where two rays can have a common endpoint. R This figure is called an _____. S T
  9. 9. Angles There is another case where two rays can have a common endpoint. R This figure is called an _____. angle S T
  10. 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. 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. 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. 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. 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. 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. 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. 17. Angles 1) Name the angle in four ways. B A 1 C
  18. 18. Angles 1) Name the angle in four ways. B A 1 C ABC
  19. 19. Angles 1) Name the angle in four ways. B A 1 C ABC CBA
  20. 20. Angles 1) Name the angle in four ways. B A 1 C ABC CBA
  21. 21. Angles 1) Name the angle in four ways. B A 1 C ABC B CBA
  22. 22. Angles 1) Name the angle in four ways. B A 1 C ABC 1 B CBA
  23. 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. 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. 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. 26. Angles W Y X 1) Name all angles having W as their vertex. Z 1 2
  27. 27. Angles W Y X 1) Name all angles having W as their vertex. Z 1 2 1
  28. 28. Angles W Y X 1) Name all angles having W as their vertex. Z 1 2 1 2
  29. 29. Angles W Y X 1) Name all angles having W as their vertex. Z 1 2 1 2 XWZ
  30. 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. 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. 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. 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. 34. Angles An angle separates a plane into three parts: 1) the ______ W Y Z A B
  35. 35. Angles An angle separates a plane into three parts: 1) the ______ interior interior W Y Z A B
  36. 36. Angles An angle separates a plane into three parts: 1) the ______ 2) the ______ interior A B interior W Y Z
  37. 37. Angles An angle separates a plane into three parts: 1) the ______ 2) the ______ interior exterior exterior interior W Y Z A B
  38. 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. 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. 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. 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. 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. 43. Angles B Is point B in the interior of the angle, exterior of the angle, or on the angle? G P
  44. 44. Angles B Is point B in the interior of the angle, exterior of the angle, or on the angle? Exterior G P
  45. 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. 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. 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. 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. 49. §3.7 Perpendicular Lines End of Lesson

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