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Level 439

Standard Position & Reference Angles


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standard position
- an angle is in standard postion if its vertex is located at the origin and one ray is on the positive x-axis.
initial side
- the ray on the x-axis of an angle in standard position.
terminal side
- the ray that is not on the axis of an angle in standard position.
Quadrantal angle
- if the terminal side of an angle lies on the axis (like a 90 or 180 degree angle).
How is angle measured?
It is measured by the amount of rotation from the initial side to the terminal side.
Counterclockwise angle measurement
the measurement is positive
clockwise angle measurement
the measurement is negative
coterminal angles
two angles that have the same terminal side.
reference angle
an acute angle formed by the terminal side of the given angle and the x-axis.