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Finding Quadrant of an Angle - Grade 12 Math

Understand and identify the quadrant of an angle in standard position for Grade 12 Mathematics.

Grade 12 Math GeometryFinding Quadrant of an Angle
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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseCustom

Standards

CCSS.MATH.CONTENT.HSG.SRT.D.9CCSS.MATH.CONTENT.HSG.SRT.D.10
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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. Show all your work for short answer questions.

1. In which quadrant does an angle of 210° lie?

a

Quadrant I

b

Quadrant II

c

Quadrant III

d

Quadrant IV

2. An angle measuring -100° is in which quadrant?

a

Quadrant I

b

Quadrant II

c

Quadrant III

d

Quadrant IV

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

4. If an angle has a positive sine and a negative cosine, it lies in Quadrant  .

5. Determine the quadrant of an angle measuring 5π/3 radians. Explain your reasoning.

6. An angle of 90° lies in Quadrant I.

T

True

F

False

7. If an angle's terminal side is on the negative x-axis, it is considered to be in Quadrant III.

T

True

F

False

8. Plot the angle -135° on the coordinate plane below and indicate 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