Worksheet: The Coordinate Plane: First Quadrant

In this worksheet, we will practice finding the x- and y-coordinates of a point in the first quadrant and locating a point given its coordinates.

Q1:

What is the 𝑥-coordinate of the blue point?

Q2:

Start at 𝐵. Go right 7, and then go up 2. What ordered pair represents the position where you are now?

  • A(0,7)
  • B(0,2)
  • C(7,2)
  • D(2,7)
  • E(0,0)

Q3:

Write the ordered pair for the location of the monkeys.

  • A(3,2)
  • B(4,7)
  • C(4,5)
  • D(6,4)
  • E(3,1)

Q4:

Which coordinate has NOT been plotted on the coordinate grid?

  • A(0,0)
  • B(4,0)
  • C(0,4)
  • D(4,4)
  • E(2,4)

Q5:

Are the coordinates (1,3) and (3,1) in the same location on a coordinate grid?

  • Ano
  • Byes

Q6:

Which coordinate has NOT been plotted on the coordinate grid?

  • A(1,6)
  • B(3,5)
  • C(7,3)
  • D(5,7)
  • E(4,6)

Q7:

On which of the following graphs is the point 𝑊(1,9) drawn?

  • A(c)
  • B(d)
  • C(b)
  • D(a)

Q8:

The figure shows the map of a zoo. Which animals are located at (2,5)?

  • Amonkeys
  • Bzebras
  • Cgiraffes
  • Dlions
  • Etigers

Q9:

A father collected data to determine a relationship between studying hours and break hours for his 3 sons on a single day. His results were as follows:

Jacob: (4,2)

Michael: (5,3)

Noah: (7,4)

Which of the following graphs best describes the given data?

  • A
  • B
  • C
  • D
  • E

Q10:

A regular, eight-pointed star has been drawn in a coordinate plane with seven of its vertices at (−1,1),(0,3),(1,1),(3,0),(1,−1),(0,−3), and (−1,−1). Find the coordinates of the remaining point.

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

Q11:

Jacob is plotting his exercise performance over 4 weeks on a coordinate grid. Each ordered pair represents the number of kilometers he swims and the number of kilometers he runs every week. His results were as follows:

week 1: (1,4),

week 2: (2,3),

week 3: (1,5),

week 4: (3,4).

Which of the following graphs accurately describes Jacob’s performance?

  • A
  • B
  • C
  • D
  • E

Q12:

William has plotted five ordered pairs on a set of Cartesian coordinate axes.

Which ordered pair has coordinates (3,1)?

  • A𝐵
  • B𝐷
  • C𝐸
  • D𝐴
  • E𝐶

Which ordered pair has coordinates (−3,−2)?

  • A𝐵
  • B𝐸
  • C𝐷
  • D𝐶
  • E𝐴

Which ordered pair has coordinates (−2,3)?

  • A𝐴
  • B𝐸
  • C𝐶
  • D𝐵
  • E𝐷

Q13:

Maps of the world use a coordinate system to represent locations, where the horizontal axis is the equator and the vertical axis is the prime meridian.

Where does 45°N latitude, 20°E longitude lie?

  • AAtlantic Ocean
  • BEurope
  • CAfrica

Where does 10°N latitude, 10°W longitude lie?

  • AEurope
  • BAtlantic Ocean
  • CAfrica

Q14:

What are the coordinates of the missing point which would complete the square?

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

Q15:

Find the coordinates of the point that would complete the rectangle. Give your answer as an ordered pair.

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

Q16:

Find the coordinate pairs for the vertices of △𝐴𝐵𝐶.

  • A𝐴=(6,4), 𝐵=(2,7), 𝐶=(3,2)
  • B𝐴=(4,6), 𝐵=(7,2), 𝐶=(2,3)
  • C𝐴=(6,4), 𝐵=(2,7), 𝐶=(2,3)
  • D𝐴=(4,6), 𝐵=(2,7), 𝐶=(3,2)
  • E𝐴=(4,6), 𝐵=(7,2), 𝐶=(3,2)

Q17:

Which ordered pair represents a point located inside both the triangle and the diamond?

  • A(4,2)
  • B(5,6)
  • C(3,4)
  • D(2,2)
  • E(6,5)

Q18:

Name the polygon that can be graphed in the coordinate plane with vertices at (0,5), (0,−2), and (6,−2).

  • Aequilateral triangle
  • Bsquare
  • Crhombus
  • Dright triangle

Q19:

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

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

Q20:

Find the coordinates of 𝐴 and 𝐵.

  • A𝐴(5,8), 𝐵(6,6)
  • B𝐴(6,5), 𝐵(6,8)
  • C𝐴(5,6), 𝐵(8,6)
  • D𝐴(6,8), 𝐵(6,5)

Q21:

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

  • A(7,5)
  • B(5,2)
  • C(5,7)
  • D7
  • E5

Q22:

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

  • A𝐴=(2,0), 𝐵=(5,3), 𝐶=(7,6)
  • B𝐴=(0,2), 𝐵=(5,3), 𝐶=(7,6)
  • C𝐴=(0,2), 𝐵=(3,5), 𝐶=(7,6)
  • D𝐴=(2,0), 𝐵=(3,5), 𝐶=(6,7)
  • E𝐴=(0,2), 𝐵=(3,5), 𝐶=(6,7)

Q23:

What is the 𝑦-coordinate of point 𝐵?

Q24:

What is the 𝑦-coordinate of the blue point?

Q25:

What is the 𝑥-coordinate of point 𝐴?

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