Angles in standard position: quadrants, coterminal and reference angles

Answer Key - Grade 11 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.

1. 1.

   “Unit circle, not to scale:” Esme's robot turns -130°, clockwise from the positive x-axis. Which angle from 0° to 360° ends at the same place?

   230
2. 2.

   “not to scale” Jun turns a game spinner arrow -75° from the positive x-axis. Which angle from 0° to 360° ends at the same place?

   285
3. 3.

   Kira marks a dot on a bike wheel at the positive x-axis, then the wheel turns 1000°. Which angle from 0° to 360° ends at the same place?

   280
4. 4.

   Luz's robot spins 940° counterclockwise from the positive x-axis. Which angle from 0° to 360° ends at the same place?

   220
6. 5.

   Milo turns a spinner arrow 150° counterclockwise from the positive x-axis. In which quadrant does the arrow stop?

   • Quadrant IV
   • Quadrant III
   • Quadrant II
   • Quadrant I
7. 6.

   Noah's robot turns 300° counterclockwise from the positive x-axis. In which quadrant does the robot face?

   Use the picture in question 5.

   • Quadrant IV
   • Quadrant II
   • Quadrant I
   • Quadrant III
8. 7.

   Pia turns a clock hand -60°, clockwise from the positive x-axis. In which quadrant does the hand stop?

   Use the picture in question 5.

   • Quadrant IV
   • Quadrant II
   • Quadrant III
   • Quadrant I
9. 8.

   Ren turns a spinner arrow -210° from the positive x-axis. In which quadrant does the arrow stop?

   Use the picture in question 5.

   • Quadrant IV
   • Quadrant III
   • Quadrant I
   • Quadrant II
10. 9.

    Unit circle, not to scale. Esme turns a spinner arrow 290° from the positive x-axis. What is the reference angle of the turn?

    70
11. 10.

    Jun draws a turn of 255° on a unit circle worksheet. What is its reference angle?

    75