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Finding Quadrants of Angles

This worksheet focuses on identifying the quadrant in which a given angle terminates, covering angles in both degrees and radians.

Grade 11 Math GeometryFinding Quadrant of an Angle
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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseCustom

Standards

CCSS.MATH.CONTENT.HSG.SRT.C.8

Topics

trigonometryanglesquadrantsradiansdegrees
7 sections · Free to use · Printable
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Finding Quadrants of Angles

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For each angle given, determine the quadrant in which its terminal side lies. If the angle lies on an axis, state which axis it is.

1. In which quadrant does the angle 210° terminate?

a

Quadrant I

b

Quadrant II

c

Quadrant III

d

Quadrant IV

2. An angle of -120° terminates in which quadrant?

a

Quadrant I

b

Quadrant II

c

Quadrant III

d

Quadrant IV

3. Which quadrant contains the terminal side of an angle measuring 5π/4 radians?

a

Quadrant I

b

Quadrant II

c

Quadrant III

d

Quadrant IV

4. An angle of 400° is coterminal with an angle in Quadrant  .

5. The angle -π/3 radians terminates in Quadrant  .

6. An angle of 270° lies on the   axis.

7. In which quadrant does an angle of 7π/6 radians terminate? Explain your reasoning.

8. Describe how to find the quadrant of an angle greater than 360°.

9. The angle 90° terminates in Quadrant I.

T

True

F

False

10. An angle of -270° terminates on the positive y-axis.

T

True

F

False

11. Plot the terminal side of an angle of 135° on the coordinate plane below.

-5-4-3-2-112345-5-4-3-2-112345

12. Plot the terminal side of an angle of -5π/6 radians on the coordinate plane below.

-5-4-3-2-112345-5-4-3-2-112345