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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