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Coterminal Angles quiz

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  • What is a coterminal angle?
    A coterminal angle is an angle that shares the same initial and terminal sides as another angle, pointing in the same direction.
  • How many degrees are in a full circle?
    A full circle is 360 degrees.
  • What is the shortcut for finding coterminal angles?
    Add or subtract multiples of 360 degrees to the given angle.
  • What is the coterminal angle of 390 degrees between 0 and 360 degrees?
    390 degrees is coterminal with 30 degrees because 390 - 360 = 30.
  • How do you find a positive coterminal angle for a negative angle?
    Add 360 degrees to the negative angle until the result is between 0 and 360 degrees.
  • What is the coterminal angle of -270 degrees between 0 and 360 degrees?
    -270 degrees is coterminal with 90 degrees because -270 + 360 = 90.
  • What is the coterminal angle of 1000 degrees between 0 and 360 degrees?
    1000 degrees is coterminal with 280 degrees because 1000 - 360 - 360 = 280.
  • What does it mean for two angles to have the same terminal side?
    It means they point in the same direction on the circle, regardless of how many rotations are made.
  • What is the initial side of an angle typically aligned with?
    The initial side is typically aligned with the x-axis.
  • How can you graph an angle greater than 360 degrees?
    Subtract 360 degrees until the angle is between 0 and 360, then graph that angle.
  • How can you graph a negative angle?
    Add 360 degrees until the angle is positive and between 0 and 360, then graph that angle.
  • What is the difference between 30 degrees and 390 degrees?
    The difference is 360 degrees, which is one full rotation, so they are coterminal.
  • If an angle is significantly larger than 360 degrees, what should you do to find its coterminal angle?
    Continue subtracting 360 degrees until the result is between 0 and 360 degrees.
  • What is the coterminal angle of 640 degrees between 0 and 360 degrees?
    640 degrees is coterminal with 280 degrees because 640 - 360 = 280.
  • Why are graphical representations useful for coterminal angles?
    They help visualize the direction of the angles and their coterminal counterparts.