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Applied Geometry

Learn to name and identify parts of an angle, including rays, vertices, sides, collinear rays, and more. Practice naming angles in different ways and classifying points within angles.

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Applied Geometry

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  1. Applied Geometry Lesson: 3 – 1 Angles Objective: Learn to name and identify parts of an angle.

  2. Ray • What is a ray? • Opposite rays: two rays that are part of the same line and have only their endpoints in common.

  3. Angle • Angle: a figure formed by two noncollinear rays that have a common endpoint and are not opposite rays. • Vertex: the common endpoint • Sides: the two rays that make up the angle

  4. Angle… • What if the rays were collinear? • What would the angle look like? A B C Straight angle: the figure formed by opposite rays.

  5. Naming Angles • More than one way to name: • Name by letters (follow the lines) • Vertex is always middle letter • Name by vertex • *Warning* Only use if there is one angle • Name by number (only if given)

  6. Name the angle in all ways

  7. ExampleName the angle in four ways. Then identify its vertex and its sides. Vertex: B Sides:

  8. Name the whole angle in as many ways as possible Cannot use vertex to name because there are 3 angles with vertex P not one. Cannot use number to name because there is not a number that represents the whole angle.

  9. Name all angles having W as their vertex. Do not name the same angle twice. Not asking for the different ways to name, just asking for angles.

  10. Name all angles having W as their vertex.

  11. Name all angles having W as their vertex.

  12. Parts of an angle • An angle separates a plane into three parts • Interior of the angle • Exterior of the angle • On the angle itself

  13. Tell whether each point is in the interior, exterior, or on the angle. Interior On Exterior

  14. Homework • Pg. 92 1 – 8 all, 10 – 32 E

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