Notes on Co-ordinates | Grade 7 > Compulsory Maths > Coordinates | KULLABS.COM

Co-ordinates

  • Note
  • Things to remember
  • Videos
  • Exercise
  • Quiz

Co-ordinates

The ordered pair of the number which is used to indicate the position of a point on a grid is known as the coordinates of a point.For example,

The position of the point P on the grid is 5 units along 3 units up is written as (5,3).

Co-ordinates axes and quadrants

Co-ordinates axes are the horizontal and vertical number lines which intersect each other perpendicularly at the point O.

Here, XOX' is called x-axis or abscissa

YOY' is called the y-axis or ordinate.

The point O is called the origin.

Similarly, the interested x-axis and y-axis divide the co-ordinate plane into 4 regions which are known as quadrants.

XOY is called 1st quadrant.

X'OYis called 2nd quadrant

X'OY' is called 3rd quadrant

XOY' is called 4th quadrant

Finding points in all four quadrants

The following are the points which are used to find the points in all four quadrants,

  1. In the first quadrant, the co-ordinates of a point are (x,y).
  2. In the second quadrant, the co-ordinates of a point are (-x,y)
  3. In the third quadrant, the co-ordinates of point are (-x,-y).
  4. In the fourth quadrant, the co-ordinates of point (x,-y).
  5. The co-ordinates of the origin are (0,0).
  6. The co-ordinates of any point on the x-axis are (x,0) or (-x,0).
  7. The co-ordinates of any point on the y-axis are (0,y) or (0,-y).

Plotting points in all four quadrants

For plotting the points we use graph paper to plot the given points in different quadrants. On the graph paper, we should first draw the co-ordinate axes XOX' and YOY'.



  • The following are the points which are used to find the points in all four quadrants,

    1. In the first quadrant, the co-ordinates of a point are (x,y).
    2. In the second quadrant, the co-ordinates of a point are (-x,y)
    3. In the third quadrant, the co-ordinates of point are (-x,-y).
    4. In the fourth quadrant, the co-ordinates of point (x,-y).
    5. The co-ordinates of the origin are (0,0).
    6. The co-ordinates of any point on the x-axis are (x,0) or (-x,0).
    7. The co-ordinates of any point on the y-axis are (0,y) or (0,-y).
.

Very Short Questions

The coordinate axes are mentioned below:

  • XOX' is called the x-axis or abscissa.
  • YOY' is called the y-axis or ordinate.
  • The point O is called the origin.

Similarly, The quadrants of coordinate are mentioned below:

  • The region XOY is called the first quadrant.
  • The region X'OY is called the second quadrant.
  • The region X'OY' is called the third quadrant.
  • The region XOY' is called the fourth quadrant.

Solution:

Given point, A(2,3)
Since both x and y coordinates are positive, so it lies in the first quadrant.

Also, Given points, B(-3,2)}
Since x-coordinate is negative and y-coordinate is positive, so it lies in the second quadrant.

Similarly, Given points, C(-2,-3)
Since both x and y coordinates are negative, so it lies in the third quadrant.

And, Given points, D(3,-2)
Since x-coordinate is positive and y-coordinate is negative, so it lies in the fourth quadrant.

0%
  • A point is 5 units right from the origin along x-axis and 3 units up along y-axis, then its coordinates are ______.

    (-5, -3)
    (5, -3)
    (3, 5)
    (5, 3)
  • A point is 2 units left from the origin along x-axis and 7 units down along y-axis, then its coordinates are ______.

    (-2, -7)
    (-2, -7)
    (2, 7)
    (7, -2)
  • The coordinates of the origin are ______.

    (0, 0)
    (1, 1)
    (1, 0)
    (0, 1)
  • If the abscissa of a point -6 and its ordinate is 4, then its coordinates are _______.

    (-6, 4)
    (6, -4)
    (-6, -4)
    (4, -6)
  • If the coordinates of a point are (5, -3), it lies in ______ quadrant.

    one
    third
    fourth
    second 
  • If the coordinates of a point are (-4, -8), it lies in ______ quadrant.

    fourth
    first
    third 
    second
  • If the coordinates a point are (3, 0), it is lies on ______ axis.

    x-axis
    - abscissa
    - ordinate
    y-axis
  • If the coordinates of a point are (0, -6), it lies on _______ axis.

    - ordinate
    - abscissa
    y-axis
    x-axis
  • In which quadrants do the (-2, 5) point lie?

    first
    second 
    third
    fourth
  • In which quadrants do the (3, 6) point lie?

    second
    first 
    fourth
    third
  • In which quadrants do the (4, -3) point lie?

    second
    third
    first
    fourth
  • In which quadrants do the (-7 -9) point lie?

    fourth 
    second
    first
    third
  • You scored /12


    Take test again

ASK ANY QUESTION ON Co-ordinates

No discussion on this note yet. Be first to comment on this note