Mathematics
Use the graph given below, to find the co-ordinates of the point (s) satisfying the given conditions :
(i) the abscissa is 2.
(ii) the ordinate is 0.
(iii) the ordinate is 3.
(iv) the ordinate is - 4.
(v) the abscissa is 5.
(vi) the abscissa is equal to the ordinate.
(vii) the ordinate is half of the abscissa.

Coordinate Geometry
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Answer
(i) The abscissa is 2.
The abscissa represents the x-coordinate, so x = 2.
Observing the graph, the y-coordinate for this point is also 2.
Hence, the point is A = (2, 2).
(ii) The ordinate is 0.
The ordinate represents the y-coordinate, so y = 0.
Observing the graph, the x-coordinate for this point is 5.
Hence, the point is B = (5, 0).
(iii) The ordinate is 3.
The ordinate represents the y-coordinate, so y = 3.
Observing the graph, the x-coordinates for this point are -4 and 6.
Hence, the points are C = (-4, 3) and E = (6, 3).
(iv) The ordinate is - 4.
The ordinate represents the y-coordinate, so y = - 4.
Observing the graph, the x-coordinate for this point is 2.
Hence, the point is D = (2, -4).
(v) The abscissa is 5.
The abscissa represents the x-coordinate, so x = 5.
Observing the graph, the y-coordinates for this point are 0, 5 and -3.
Hence, the points are B = (5, 0), H = (5, 5) and G = (5, -3).
(vi) The abscissa is equal to the ordinate.
The abscissa represents the x-coordinate, and ordinate represents the y-coordinate so x = y.
Observing the graph, the points are (2,2), (5, 5) and (4, 4).
Hence, the points are A = (2, 2), H = (5, 5) and I = (4, 4).
(vii) The ordinate is half of the abscissa.
The abscissa represents the x-coordinate, and ordinate represents the y-coordinate so y = .
Observing the graph, the point is (6, 3).
Hence, the point is E = (6, 3).
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Related Questions
Plot the following points on the same graph paper :
(i) (8, 7)
(ii) (3, 6)
(iii) (0, 4)
(iv) (0, -4)
(v) (3, -2)
(vi) (-2, 5)
(vii) (-3, 0)
(viii) (5, 0)
(ix) (-4, -3)
Find the values of x and y if :
(i) (x - 1, y + 3) = (4, 4)
(ii) (3x + 1, 2y - 7) = (9, - 9)
(iii) (5x - 3y, y - 3x) = (4, - 4)
State, true or false :
(i) The ordinate of a point is its x-co-ordinate.
(ii) The origin is in the first quadrant.
(iii) The y-axis is the vertical number line.
(iv) Every point is located in one of the four quadrants.
(v) If the ordinate of a point is equal to its abscissa; the point lies either in the first quadrant or in the second quadrant.
(vi) The origin (0, 0) lies on the x-axis.
(vii) The point (a, b) lies on the y-axis if b = 0.
In each of the following, find the co-ordinates of the point whose abscissa is the solution of the first equation and ordinate is the solution of the second equation :
(i) 3 - 2x = 7; 2y + 1 = 10 - .
(ii)
(iii)