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Finding Quadrant of an Angle

Identify the quadrant of angles in standard position and understand angle measurement in a coordinate plane.

Grade 9 Math GeometryFinding Quadrant of an Angle
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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseMatching

Standards

CCSS.MATH.CONTENT.HSG.SRT.D.9

Topics

mathgeometryanglesquadrantsgrade 9
7 sections · Free to use · Printable
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Finding Quadrant of an Angle

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Read each question carefully and determine the quadrant in which the given angle lies. All angles are in standard position.

1. In which quadrant does an angle of 135° lie?

a

Quadrant I

b

Quadrant II

c

Quadrant III

d

Quadrant IV

2. An angle measuring -210° is in which quadrant?

a

Quadrant I

b

Quadrant II

c

Quadrant III

d

Quadrant IV

3. An angle of 280° lies in Quadrant  .

4. The angle 450° is coterminal with an angle of 90°, which lies on the positive  -axis.

5. If an angle's terminal side is in Quadrant III, its measure could be   degrees.

6. Draw a coordinate plane and sketch an angle of 300° in standard position. Label the quadrant it lies in.

-360-355-350-345-340-335-330-325-320-315-310-305-300-295-290-285-280-275-270-265-260-255-250-245-240-235-230-225-220-215-210-205-200-195-190-185-180-175-170-165-160-155-150-145-140-135-130-125-120-115-110-105-100-95-90-85-80-75-70-65-60-55-50-45-40-35-30-25-20-15-10-55101520253035404550556065707580859095100105110115120125130135140145150155160165170175180185190195200205210215220225230235240245250255260265270275280285290295300305310315320325330335340345350355360-360-355-350-345-340-335-330-325-320-315-310-305-300-295-290-285-280-275-270-265-260-255-250-245-240-235-230-225-220-215-210-205-200-195-190-185-180-175-170-165-160-155-150-145-140-135-130-125-120-115-110-105-100-95-90-85-80-75-70-65-60-55-50-45-40-35-30-25-20-15-10-55101520253035404550556065707580859095100105110115120125130135140145150155160165170175180185190195200205210215220225230235240245250255260265270275280285290295300305310315320325330335340345350355360

7. Explain how to determine the quadrant of a negative angle.

8. An angle of 0° is in Quadrant I.

T

True

F

False

9. An angle of 90° lies on the boundary between Quadrant I and Quadrant II.

T

True

F

False

Match each angle measure with the quadrant it lies in.

10. 75°

 

a. Quadrant I

11. 190°

 

b. Quadrant II

12. -45°

 

c. Quadrant III

13. 290°

 

d. Quadrant IV