Measuring Rotation

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Key Questions

  • We need to remember first that negative has nothing to do with the size of something, just the direction it goes in.

    I explain that best by talking about calling your parents for a ride. when they ask how to get to you you can't say I'm 5 miles from home, pick me up! you have to use words like east west left or right. negative is the equivalent of these words in math.

    I can walk positive 10 feet or negative 10 feet along the x axis. Same distance, different directions. a positive angle starts from an initial side and moves clockwise to its terminal side. A negative angle starts from an initial side and moves counterclockwise to its terminal side.

  • You can draw an angle in standard position by positioning its vertex at the origin and one "ray" on the positive x-axis. The ray on the x-axis is called the initial side and the other ray is called the terminal side.
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    An angle is then measured POSITIVE for a counterclockwise rotation and NEGATIVE for a clockwise rotation:
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    When two angles have the same initial and terminal sides, they are said to be coterminal angles.
    Angles of −315° and 45° are coterminal angles.
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