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Vocabulary Origin & Quadrants Vertex Right, Acute, & Obtuse Complementary & Supplementary

Vocabulary Origin & Quadrants Vertex Right, Acute, & Obtuse Complementary & Supplementary Central & Inscribed Angles Arc. An ANGLE is created by rotating a ray about its endpoint (vertex). Terminal Side. Initial Side.

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Vocabulary Origin & Quadrants Vertex Right, Acute, & Obtuse Complementary & Supplementary

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  1. Vocabulary • Origin & Quadrants • Vertex • Right, Acute, & Obtuse • Complementary & Supplementary • Central & Inscribed Angles • Arc

  2. An ANGLE is created by rotating a ray about its endpoint (vertex). Terminal Side Initial Side • If we fit an angle to a coordinate system, the vertex is at the _______ and the initial side is the _________ • This is called “Standard Position”

  3. Positive Angle(Counterclockwise) Negative Angle(Clockwise) • These 2 angles are “COTERMINAL” (They end together)

  4. Angles can be measured in DEGREES or in RADIANS(similar to feet & meters)

  5. DEF: One RADIAN is the measure of a central anglesuch that the arc lengths is equal to the length of the radiusr. s If s = r then = 1 radian  r

  6. The radian measure of a central angle  s = r arc length = radius

  7. s =  r 360° 1 full revolution? 180° ½ a revolution? ¼ a revolution? 90° 60° 45° 30° ? 2

  8. Ex. What is the supplement of ? Ex. What is the complement of ? Ex. Find a coterminal angle for for

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