Worksheet: Quadrants of the Coordinate Plane

In this worksheet, we will practice identifying the quadrant and find the coordinates of points in the four quadrants.

Q1:

Which of the points below is inside the circle?

  • A ( 8 , 5 )
  • B ( 7 , 6 )
  • C ( 5 , 1 )
  • D ( 7 , 9 )
  • E ( 2 , 9 )

Q2:

What are the coordinates of the point 𝐴?

  • A ( 3 , 8 )
  • B 3 4 , 2
  • C ( 8 , 3 )
  • D 2 , 3 4
  • E 1 1 2 , 4

Q3:

If Charlotte’s workplace is located at point 𝑊, her house is located at point 𝐻, and the gymnasium she uses is at point 𝐺. Describe the number of blocks and the direction she needs to travel to get from the gymnasium to her house.

  • A3 blocks west and 2 blocks north
  • B11 blocks west and 2 blocks north
  • C11 blocks east and 2 blocks south
  • D2 blocks east and 11 blocks south
  • E3 blocks east and 12 blocks south

Q4:

Express the coordinates that represent point 𝐸, and then identify the quadrant it lies in.

  • A ( 5 , 5 ) , second quadrant
  • B ( 0 , 5 ) , none
  • C ( 5 , 5 ) , fourth quadrant
  • D ( 5 , 0 ) , none
  • E ( 5 , 5 ) , first quadrant

Q5:

Which point is (5,6)?

  • A 𝐵
  • B 𝐹
  • C 𝐴
  • D 𝐶
  • E 𝐷

Q6:

If you know that point 𝑋 is located at (5,0) on the graph, which of the shown points is 4 units from point 𝑋?

  • A 𝐴
  • B 𝐶
  • C 𝐷
  • D 𝐵

Q7:

A teacher plotted these points on the graph. Determine the 𝑦-coordinate of the point whose 𝑥-coordinate is 3.

Q8:

Chloe used this graph to show the number of points she scored in each of 7 rounds of a board game.

Which of the following statements represents the meaning of point 𝐴?

  • AShe gained 3 points in the 2nd round.
  • BShe gained 3 points in the 3rd round.
  • CShe gained 2 points in the 3rd round.
  • DShe lost 3 points in the 2nd round.
  • EShe lost 2 points in the 3rd round.

Q9:

Which axis does the point (0,12) lie on?

  • A 𝑥
  • B 𝑦

Q10:

What is the sign of the 𝑥-coordinate of the point shown in the plane?

  • Anegative
  • BThe 𝑥-coordinate is zero.
  • Cpositive

What is the sign of the 𝑦-coordinate of the point shown in the plane?

  • Apositive
  • BThe 𝑦-coordinate is zero.
  • Cnegative

Q11:

In which of these coordinate planes are the axes labeled correctly?

  • ABoth are correct.
  • BB
  • CA

Q12:

What is the sign of the 𝑥-coordinate of the point shown in the plane?

  • AThe 𝑥-coordinate is zero.
  • Bnegative
  • Cpositive

What is the sign of the 𝑦-coordinate of the point shown in the plane?

  • AThe 𝑦-coordinate is zero.
  • Bpositive
  • Cnegative

Q13:

Victoria makes $10.50 per hour as a waitress. She made a table to record her earnings in 4 different days. List this information as ordered pairs (time, earnings).

Time (h) 1 2 3 4
Earnings ($) 10.50 21 31.50 42
  • A ( 2 , 1 ) ( 4 , 3 ) ( 2 1 , 1 0 . 5 ) ( 4 2 , 3 1 . 5 ) , , ,
  • B ( 1 , 1 0 ) ( 2 , 2 1 ) ( 3 , 3 1 ) ( 4 , 4 2 ) , , ,
  • C ( 1 , 1 0 . 5 ) ( 2 , 2 1 ) ( 3 , 3 1 . 5 ) ( 4 , 4 2 ) , , ,
  • D ( 1 , 2 ) ( 3 , 4 ) ( 1 0 . 5 , 2 1 ) ( 3 1 . 5 , 4 2 ) , , ,
  • E ( 1 0 . 5 , 1 ) ( 2 1 , 2 ) ( 3 1 . 5 , 3 ) ( 4 2 , 4 ) , , ,

Q14:

The table shows how much fencing is required to surround square gardens of various side lengths. List this information as ordered pairs (side length, fencing).

Side Length (ft) 7 1 2 7 5 8 7 3 4 7 7 8
Fencing (ft) 30 3 0 1 2 31 3 1 1 2
  • A 7 1 2 , 7 5 8 7 3 4 , 7 7 8 3 0 , 3 0 1 2 3 1 , 3 1 1 2 , , ,
  • B 7 1 2 , 1 5 7 5 8 , 1 5 1 4 7 3 4 , 1 5 1 2 7 7 8 , 1 5 3 4 , , ,
  • C 3 0 , 7 1 2 3 0 1 2 , 7 5 8 3 1 , 7 3 4 3 1 1 2 , 7 7 8 , , ,
  • D 7 5 8 , 7 1 2 7 7 8 , 7 3 4 3 0 1 2 , 3 0 3 1 1 2 , 3 1 , , ,
  • E 7 1 2 , 3 0 7 5 8 , 3 0 1 2 7 3 4 , 3 1 7 7 8 , 3 1 1 2 , , ,

Q15:

The table shows the cost of buying chocolate bars at a local store. If this information is going to be plotted on a graph with the number of chocolate bars on the 𝑥-axis, and cost on the 𝑦-axis, write the ordered pair that represents buying 3 chocolate bars.

Number of Chocolate Bars 1 2 3 4
Cost $3 $6 $9 $12
  • A ( 3 , 1 2 )
  • B ( 3 , 6 )
  • C ( 9 , 3 )
  • D ( 3 , 9 )
  • E ( 6 , 3 )

Q16:

What are the signs of the 𝑥- and 𝑦-coordinates of any point belonging to the quadrant shaded in the figure below?

  • A 𝑥 -coordinate: negative; 𝑦-coordinate: positive
  • B 𝑥 -coordinate: positive; 𝑦-coordinate: positive
  • C 𝑥 -coordinate: positive; 𝑦-coordinate: negative
  • D 𝑥 -coordinate: negative; 𝑦-coordinate: negative

Q17:

True or False: There are 3 quadrants in the coordinate plane.

  • Afalse
  • Btrue

Q18:

What is the sign of the 𝑥-coordinate of the point shown in the plane?

  • AThe 𝑥-coordinate is zero.
  • Bpositive
  • Cnegative

What is the sign of the 𝑦-coordinate of the point shown in the plane?

  • AThe 𝑦-coordinate is zero.
  • Bnegative
  • Cpositive

Q19:

True or false? If Point 𝐴 and Point 𝐵 have the same 𝑥-coordinate, then they always lie in the same quadrant of the coordinate plane.

  • Atrue
  • Bfalse

Q20:

What are the signs of the 𝑥- and 𝑦-coordinates of any point belonging to the quadrant shaded in the figure below?

  • A 𝑥 -coordinate: positive, 𝑦-coordinate: negative
  • B 𝑥 -coordinate: negative, 𝑦-coordinate: positive
  • C 𝑥 -coordinate: negative, 𝑦-coordinate: negative
  • D 𝑥 -coordinate: positive, 𝑦-coordinate: positive

Q21:

What are the signs of the 𝑥- and 𝑦-coordinates of any point belonging to the quadrant shaded in the figure below?

  • A 𝑥 -coordinate: positive; 𝑦-coordinate: negative
  • B 𝑥 -coordinate: negative; 𝑦-coordinate: negative
  • C 𝑥 -coordinate: negative; 𝑦-coordinate: positive
  • D 𝑥 -coordinate: positive; 𝑦-coordinate: positive

Q22:

In which two quadrants are the points whose 𝑥 and 𝑦 coordinates have opposite signs?

  • AI and II
  • BII and III
  • CIII and IV
  • DI and IV
  • EII and IV

Q23:

What is the sign of the 𝑥-coordinate of the point shown in the plane?

  • Apositive
  • BThe 𝑥-coordinate is zero.
  • Cnegative

What is the sign of the 𝑦-coordinate of the point shown in the plane?

  • AThe 𝑦-coordinate is zero.
  • Bpositive
  • Cnegative

Q24:

In which two quadrants are the points whose 𝑥 and 𝑦 coordinates have the same sign?

  • AI and IV
  • BII and IV
  • CII and III
  • DI and III
  • EIII and IV

Q25:

What are the signs of the 𝑥- and 𝑦-coordinates of any point belonging to the quadrant shaded in the figure below?

  • A 𝑥 -coordinate: negative, 𝑦-coordinate: negative
  • B 𝑥 -coordinate: positive, 𝑦-coordinate: negative
  • C 𝑥 -coordinate: positive, 𝑦-coordinate: positive
  • D 𝑥 -coordinate: negative, 𝑦-coordinate: positive

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