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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 • Central & Inscribed Angles • Arc
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”
Positive Angle(Counterclockwise) Negative Angle(Clockwise) • These 2 angles are “COTERMINAL” (They end together)
Angles can be measured in DEGREES or in RADIANS(similar to feet & meters)
DEF: One RADIAN is the measure of a central anglesuch that the arc lengths is equal to the length of the radiusr. s If s = r then = 1 radian r
The radian measure of a central angle s = r arc length = radius
s = r 360° 1 full revolution? 180° ½ a revolution? ¼ a revolution? 90° 60° 45° 30° ? 2
Ex. What is the supplement of ? Ex. What is the complement of ? Ex. Find a coterminal angle for for