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Published byPoppy Alice Gilbert Modified over 9 years ago
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Vocabulary Origin & Quadrants Vertex Right, Acute, & Obtuse Complementary & Supplementary Central & Inscribed Angles Arc
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An ANGLE is created by rotating a ray about its endpoint (vertex). 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” Initial Side Terminal Side
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These 2 angles are “COTERMINAL” Negative Angle (Clockwise) Positive Angle (Counterclockwise) (They end together)
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Angles can be measured in DEGREES or in RADIANS (similar to feet & meters)
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DEF: One RADIAN is the measure of a central angle such that the arc length s is equal to the length of the radius r. r s If s = r then = 1 radian
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arc length radius The radian measure of a central angle = s r =
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RadiansDegrees 1 full revolution? ½ a revolution? ¼ a revolution? s r = 60° 45° 30° ? 90° 180° 360° 2
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Ex. What is the supplement of ? Ex. What is the complement of ? Ex. Find a coterminal angle for for
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