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Angles (Geometry 3_1)
Angles (Geometry 3_1)
Angles (Geometry 3_1)
Angles (Geometry 3_1)
Angles (Geometry 3_1)
Angles (Geometry 3_1)
Angles (Geometry 3_1)
Angles (Geometry 3_1)
Angles (Geometry 3_1)
Angles (Geometry 3_1)
Angles (Geometry 3_1)
Angles (Geometry 3_1)
Angles (Geometry 3_1)
Angles (Geometry 3_1)
Angles (Geometry 3_1)
Angles (Geometry 3_1)
Angles (Geometry 3_1)
Angles (Geometry 3_1)
Angles (Geometry 3_1)
Angles (Geometry 3_1)
Angles (Geometry 3_1)
Angles (Geometry 3_1)
Angles (Geometry 3_1)
Angles (Geometry 3_1)
Angles (Geometry 3_1)
Angles (Geometry 3_1)
Angles (Geometry 3_1)
Angles (Geometry 3_1)
Angles (Geometry 3_1)
Angles (Geometry 3_1)
Angles (Geometry 3_1)
Angles (Geometry 3_1)
Angles (Geometry 3_1)
Angles (Geometry 3_1)
Angles (Geometry 3_1)
Angles (Geometry 3_1)
Angles (Geometry 3_1)
Angles (Geometry 3_1)
Angles (Geometry 3_1)
Angles (Geometry 3_1)
Angles (Geometry 3_1)
Angles (Geometry 3_1)
Angles (Geometry 3_1)
Angles (Geometry 3_1)
Angles (Geometry 3_1)
Angles (Geometry 3_1)
Angles (Geometry 3_1)
Angles (Geometry 3_1)
Angles (Geometry 3_1)
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Angles (Geometry 3_1)

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

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

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  • 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

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