Worksheet: Quadrants of the Coordinate Plane

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

Q1:

Which of the points below is inside the circle?

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

Q2:

What are the coordinates of the point 𝐴 ?

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

  • A2 blocks east and 11 blocks south
  • B11 blocks east and 2 blocks south
  • C3 blocks east and 12 blocks south
  • D11 blocks west and 2 blocks north
  • E3 blocks west and 2 blocks north

Q4:

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

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

Q5:

Which point is ( − 5 , − 6 ) ?

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

Q6:

Determine the ordered pair which represents the position of point 𝑅 in the given coordinate plane.

  • A ( 1 , 0 )
  • B ( 9 , 3 )
  • C ( 0 , 1 )
  • D ( 3 , 9 )
  • E ( 3 , 0 )

Q7:

Find the coordinates of 𝐴 and 𝐵 .

  • A 𝐴 ( 5 , 8 ) , 𝐵 ( 6 , 6 )
  • B 𝐴 ( 5 , 6 ) , 𝐵 ( 8 , 6 )
  • C 𝐴 ( 6 , 8 ) , 𝐵 ( 6 , 5 )
  • D 𝐴 ( 6 , 5 ) , 𝐵 ( 6 , 8 )

Q8:

Find the coordinates of point 𝐶 . Give your answer as an ordered pair.

  • A5
  • B ( 7 , 5 )
  • C7
  • D ( 5 , 7 )
  • E ( 5 , 2 )

Q9:

Find the coordinate pairs for points 𝐴 , 𝐵 , and 𝐶 .

  • A 𝐴 = ( 0 , 2 ) , 𝐵 = ( 5 , 3 ) , 𝐶 = ( 7 , 6 )
  • B 𝐴 = ( 2 , 0 ) , 𝐵 = ( 5 , 3 ) , 𝐶 = ( 7 , 6 )
  • C 𝐴 = ( 2 , 0 ) , 𝐵 = ( 3 , 5 ) , 𝐶 = ( 6 , 7 )
  • D 𝐴 = ( 0 , 2 ) , 𝐵 = ( 3 , 5 ) , 𝐶 = ( 6 , 7 )
  • E 𝐴 = ( 0 , 2 ) , 𝐵 = ( 3 , 5 ) , 𝐶 = ( 7 , 6 )

Q10:

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 𝐵
  • D 𝐷

Q11:

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

Q12:

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

Q13:

What is the 𝑦 -coordinate of point 𝐵 ?

Q14:

What is the 𝑦 -coordinate of the blue point?

Q15:

What is the 𝑥 -coordinate of point 𝐴 ?

Q16:

What are the coordinates of the intersection point of the 𝑥 - and 𝑦 -axes?

  • A ( 1 , 0 )
  • B ( 0 , 1 )
  • C ( 1 , 1 )
  • D ( 0 , 0 )
  • E ( − 1 , − 1 )

Q17:

Which axis does the point ( 0 , − 1 2 ) lie on?

  • A 𝑦
  • B 𝑥

Q18:

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?

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

Q19:

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

  • ABoth are correct.
  • BA
  • CB

Q20:

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?

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

Q21:

Yara 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 ( 1 , 2 ) ( 3 , 4 ) ( 1 0 . 5 , 2 1 ) ( 3 1 . 5 , 4 2 ) , , ,
  • B ( 1 0 . 5 , 1 ) ( 2 1 , 2 ) ( 3 1 . 5 , 3 ) ( 4 2 , 4 ) , , ,
  • C ( 2 , 1 ) ( 4 , 3 ) ( 2 1 , 1 0 . 5 ) ( 4 2 , 3 1 . 5 ) , , ,
  • D ( 1 , 1 0 . 5 ) ( 2 , 2 1 ) ( 3 , 3 1 . 5 ) ( 4 , 4 2 ) , , ,
  • E ( 1 , 1 0 ) ( 2 , 2 1 ) ( 3 , 3 1 ) ( 4 , 4 2 ) , , ,

Q22:

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 3 0 , 7 1 2 3 0 1 2 , 7 5 8 3 1 , 7 3 4 3 1 1 2 , 7 7 8 , , ,
  • C 7 5 8 , 7 1 2 7 7 8 , 7 3 4 3 0 1 2 , 3 0 3 1 1 2 , 3 1 , , ,
  • D 7 1 2 , 3 0 7 5 8 , 3 0 1 2 7 3 4 , 3 1 7 7 8 , 3 1 1 2 , , ,
  • E 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 , , ,

Q23:

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 ( 9 , 3 )
  • B ( 3 , 6 )
  • C ( 6 , 3 )
  • D ( 3 , 9 )
  • E ( 3 , 1 2 )

Q24:

If ( 𝑎 , 𝑏 ) = ( 1 , 2 ) , find the values of 𝑎 and 𝑏 .

  • A 𝑎 = − 2 , 𝑏 = − 1
  • B 𝑎 = 1 , 𝑏 = 1
  • C 𝑎 = 1 , 𝑏 = − 2
  • D 𝑎 = 1 , 𝑏 = 2

Q25:

If the point ( 6 𝑎 , 5 𝑏 ) lies on the 𝑥 -axis, find the value of 𝑏 𝑎 , where 𝑎 ≠ 0 .

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