Angles (Geometry 3_1)

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    Angles (Geometry 3_1) - Presentation Transcript

    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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