Solved Examples and Worksheet for Identifying or Locating Ordered Pairs on a Coordinate Plane

Q1What are the coordinates for the jug shown on the coordinate plane?


A. (- 2,- 4)
B. (4, 2)
C. (- 4, 2)
D. (4, - 2)

Solutions
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Step: 1
The jug is located 2 units to the left of the y-axis.
Step: 2
So the x-coordinate is - 2.
Step: 3
The jug is located 4 units below the x-axis.
Step: 4
So, the y-coordinate is - 4.
Step: 5
The ordered pair for the location of the jug is (- 2, - 4).
Correct Answer is :   (- 2,- 4)
Q2Jerald moves from the point (0, 3) to a point 2 units to the right. To which quadrant did Jerald move?
A. Quadrant III
B. Quadrant II
C. Quadrant I
D. None of the above

Solutions
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Step: 1
The point (0, 3) is on the y-axis.
Step: 2
After moving 2 units to the right from the point, Jerald reaches the point (2, 3).
Step: 3
The point (2, 3) is in the first quadrant.
Step: 4
So, Jerald moved to the first quadrant as shown in the following graph.
Correct Answer is :   Quadrant I
Q3In which quadrant is the point C (4, - 2) located?

A. Quadrant I
B. Quadrant IV
C. Quadrant III
D. Quadrant II

Solutions
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Step: 1
The x-coordinate is positive and the y-coordinate is negative in quadrant IV.
Step: 2
In the point C (4, - 2), the x-coordinate is positive and the y-coordinate is negative.
Step: 3
So, the point C (4, - 2) is located in the quadrant IV.
Correct Answer is :   Quadrant IV
Q4Write the coordinates of point C from the graph.

A. (-5, 1)
B. (-5, -1)
C. (-1, -5)
D. (5, -1)

Solutions
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Step: 1
Start at the origin.
Step: 2
The point C is 5 units to the left from the y-axis.
Step: 3
So, the x-coordinate of point C is -5.
Step: 4
Point C is 1 unit below the x-axis.
Step: 5
So, the y-coordinate of point C is -1.
Step: 6
The coordinates of the point C are (-5, -1).
Correct Answer is :   (-5, -1)
Q5A rectangle is drawn on the coordinate plane, such that its sides coincides with the positive x-axis, width with the positive y-axis and one of the vertices lies on the origin. What are the coordinates of the vertex opposite to the origin, if the length and width of the rectangle are 5 units and 3 units?

A. (0, 5)
B. (3, 5)
C. (3, 0)
D. (5, 3)

Solutions
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Step: 1
Plot a point on the origin and name it as point A.
  [Since one of the vertices is the origin.]
Step: 2
Move 5 units to the right from the origin on the x-axis to plot a point and name it as point B.
  [Since the length of the rectangle is 5 units and the length coincides with the x-axis.]
Step: 3
Move 3 units up from the origin on the y-axis to plot the point and name it as point D.
  [Since the width is 3 units and coincides with y-axis.]
Step: 4
Move 5 units to the right from the point D to plot the point C.
  [In a rectangle, opposite sides are parallel and equal.]
Step: 5
So, the point opposite to the origin is C (5, 3).
Correct Answer is :   (5, 3)
Q6Choose the graph where the point A represents the coordinates (- 4, 3).

A. Graph 1
B. Graph 2
C. Graph 3
D. Graph 4

Solutions
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Step: 1
Start at the origin.
Step: 2
The x-coordinate of the given point is - 4. So, move 4 units to the left of the y-axis.
Step: 3
The y-coordinate of the given point is 3. So, move 3 units up from the x-axis.
Step: 4
Draw a dot and label it A. The graph would look like the one below.
Step: 5
Among the given graphs, Graph 1 matches with our graph.
Correct Answer is :   Graph 1
Q7Write the coordinates of point H from the graph.


A. (-4, 3)
B. (4, 3)
C. (4, -3)
D. (-4, -3)

Solutions
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Step: 1
Start at the origin.
Step: 2
The point H is 4 units to the left from the y-axis.
Step: 3
So, the x-coordinate of point H is -4.
Step: 4
Point H is 3 units above the x-axis.
Step: 5
So, the y-coordinate of point H is 3.
Step: 6
The coordinates of the point H are (-4, 3).
Correct Answer is :   (-4, 3)
Q8Which point is located at (6, 0)?


A. Point S
B. Point R
C. Point P
D. Point Q

Solutions
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Step: 1
The coordinates are represented as (x, y), where the first value indicates where it is along the horizontal axis (x-axis) and the second value indicates where it is along the vertical axis (y-axis).
Step: 2
The point at (6, 0) is point R.
Correct Answer is :   Point R
Q9Choose the ordered pair that locates the park.

A. (5, 4)
B. (4, 5)
C. (4, 6)
D. (6, 4)

Solutions
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Step: 1
In the coordinate plane, the park is 4 units right of the origin and from that point 6 units up , which is the starting point.
Step: 2
So, the ordered pair (4, 6) gives the location of the park.
Correct Answer is :   (4, 6)
Q10Which of the following points lie on the x-axis?

A. (9, 0)
B. (0, - 3)
C. (4, 5)
D. ( - 4, - 8)

Solutions
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Step: 1
On x - axis, y coordinate should be 0.
Step: 2
Amongest the choices, point (9, 0) should lie on x - axis.
Correct Answer is :   (9, 0)
Q11Identify the coordinates of point R.

A. (- 16, 8)
B. (8, 6)
C. (- 20, - 4)
D. (12, - 10)

Solutions
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Step: 1
The coordinates of a point with reference to the scales given on the axes can be obtained by determining the distance of the point from the y-axis and the x-axis.
Step: 2
Point R is 8 units to the right of the y-axis and 6 units above the x-axis.
Step: 3
So, the coordinates of point R are (8, 6).
Correct Answer is :   (8, 6)

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