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3-1: Angles

3-1: Angles. 3-1: Angles. Opposite Rays : Two rays that are part of the same line and have only their endpoints in common. Example: XZ and XY are opposite rays Straight Angle : The figure formed by opposite rays. Z. X. Y. 3-1: Angles.

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3-1: Angles

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  1. 3-1: Angles

  2. 3-1: Angles • Opposite Rays: Two rays that are part of the same line and have only their endpoints in common. • Example: XZ and XY are opposite rays • Straight Angle: The figure formed byopposite rays Z X Y

  3. 3-1: Angles • Angle: A figure where two rays have a common endpoint. • Vertex: The common endpoint of an angle • Sides: The rays that make up an angle R 1 S T

  4. 3-1: Angles • There are several ways to name the angle below. • Use the vertex and a point from each side • The vertex letter is always in the middle • RST or TSR • Use the vertex only • If there is more than one angle at the vertex, then you cannot use this method • S • Use a number • Only useful when a number is given • 1 R 1 S T

  5. 3-1: Angles • Name the angle below in four ways. Then identify its vertex and its sides. • 4 Names: • Vertex: • Sides: GHI, IHG, H, 3 H H, 3 I 3 HG, HI G

  6. 3-1: Angles • Name all angles having W as their vertex • By letters: • By numbers & letters: RWS, SWT, TWU, RWT, SWU, RWU 3, 4, 5, RWT, SWU, RWU

  7. 3-1: Angles • An angle separates a plane into three parts: the interior of an angle, the exterior of an angle, and the angle itself. • In the figure to the right, pointW and all other points in blueare in the interior region • Point V and all other points inthe beige area are in theexterior region • Points X, Y, and Z are on the angle.

  8. 3-1: Angles • Tell whether each point is in the interior, exterior, or on the angle • D: • E: • F: Interior On Exterior

  9. 3-1: Angles • Assignment • Worksheet #3-1

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