Worksheet: Locating Points on the Coordinate Plane

In this worksheet, we will practice finding the x- and y-coordinates of a point and locating a point on an xy-plane given its ordered pair.

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

Q3:

The following graph represents the relation between pressure and elevation, where the 𝑥 -coordinate is the elevation in kilometres and the 𝑦 -coordinate is the pressure in bars.

Which quadrant would contain a point that is 11 km below sea level under a pressure of 6 bars?

  • Aquadrant III
  • Bquadrant IV
  • Cquadrant I
  • Dquadrant II

Q4:

Which quadrant does the point ( − 6 , − 8 ) lie in?

  • Asecond
  • Bfirst
  • Cfourth
  • Dthird

Q5:

Write the coordinates of the location of the monkeys.

  • A
  • B
  • C
  • D
  • E

Q6:

Which coordinate has NOT been plotted on the coordinate grid?

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

Q7:

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

  • A no
  • B yes

Q8:

Which coordinate has NOT been plotted on the coordinate grid?

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

Q9:

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

  • A(a)
  • B(d)
  • C(c)
  • D(b)

Q10:

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

  • Azebras
  • Bmonkeys
  • Clions
  • Dtigers
  • Egiraffes

Q11:

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:

Bassem:

Fady:

Adel:

Which of the following graphs best describes the given data?

  • A
  • B
  • C
  • D
  • E

Q12:

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

Q13:

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

week 1: ,

week 2: ,

week 3: ,

week 4: .

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

  • A
  • B
  • C
  • D
  • E

Q14:

Consider the ordered pairs plotted on this set of coordinate axes.

Is the set of ordered pairs { 𝐴 , 𝐵 , 𝐶 } a function?

  • AYes
  • BNo

Is the set of ordered pairs { 𝐴 , 𝐵 , 𝐷 } a function?

  • AYes
  • BNo

Is the set of ordered pairs { 𝐴 , 𝐶 , 𝐷 } a function?

  • AYes
  • BNo

Q15:

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

Which ordered pair has coordinates ( 3 , 1 ) ?

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

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

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

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

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