# Problems of plotting points on cartesian plane

Given below are solved problems relating to locating points on x – y graph paper.

Before solving the question, please arrange graph paper from local stationary shop.

Question 01
Locate and mark the following points on the graph paper.

(i) (2, 5)

(ii) (-3, 7)

(iii) (-5, -1)

(iv) (2, -6)

(v) (-4, -4)

Solution
In coordinate data (x, y), the first number tells the distance from y axis and the second number tells distance from x axis.

(i) (2, 5)

Distance from y axis = 2 units
Distance from x axis = 5 units.

To locate the point, start from origin and move two units towards right to reach (2, 0).

Now from (2, 0), move 5 units vertically upwards to reach (2, 5)

(ii) (-3, 7)

Distance from y axis = -3
Distance from x axis = 7

From origin, move three points towards left on x axis to reach (-3, 0). Now move 7 units vertically upward to reach point (-3, 7).

(iii) (-5, -1)

Distance from y axis = -5
Distance from x axis = -1

From origin, move 5 units horizontally towards left to reach (-5, 0). Now move 1 unit vertically downwards to reach (-5, -1)

(iv) (2, -6)

Distance from y axis = 2
Distance from x axis = -6

From origin, move 2 units towards right to reach point (2, 0). Now move 6 units in vertical downward direction to reach (2, -6)

(v) (-4, -4)

Distance from y axis = -4
Distance from x axis = -4

From origin, move 4 units towards left to reach (-4, 0) and then move 4 units downwards to reach (-4, -4)

Problem 02
Locate and join the below points in graph paper.
(1, 0), (0, 1), (-1, 0) and (0, -1)

Solution

On joining the above given points, we get a square.

Problem 03
Plot and join below points on cartesian plane.
(2, 4), (5, 4), (-1, -2) and (6, -2)

Solution

On joining the given points, we get a trapezium.

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