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Finding Quadrant of an Angle

This worksheet helps high school students practice identifying the quadrant of angles in standard position.

Grade 10 Math GeometryFinding Quadrant of an Angle
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Multiple ChoiceFill in the BlanksShort AnswerCustom

Standards

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

Topics

mathgeometryanglesquadrantstrigonometry
6 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 terminal side of the given angle lies. Assume 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 of -210° is in which quadrant?

a

Quadrant I

b

Quadrant II

c

Quadrant III

d

Quadrant IV

3. The angle 300° lies in Quadrant  .

4. An angle of 450° has its terminal side on the   axis.

5. An angle of -90° has its terminal side on the negative   axis.

6. Determine the quadrant for an angle of 780°. Show your work.

7. For each angle below, draw the angle in standard position on the coordinate plane and label its quadrant.

-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

Angle: 240° Quadrant:  

-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

Angle: -45° Quadrant: