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प्रश्न
Points A(5, 3), B(– 2, 3) and D(5, – 4) are three vertices of a square ABCD. Plot these points on a graph paper and hence find the coordinates of the vertex C.
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उत्तर
The graph obtained by plotting the points A, B and C and D is given below.
Take a point C on the graph such that ABCD is a square i.e., all sides AB, BC, CD and AD are equal.
So, abscissa of C should be equal to abscissa of B i.e., – 2 and ordinate of C should be equal to ordinate of D i.e., – 4.
Hence, the coordinates of C are (– 2, – 4).
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संबंधित प्रश्न
Write the coordinates of each of the following points marked in the graph paper:
Plot the following point on the graph paper:
(2, 5)
Plot the following point in the coordinate system and identify the quadrant.
P(−7, 6)
Plot the following points in the coordinate plane and join them. What is your conclusion about the resulting figure?
(−5, 3) (−1, 3) (0, 3) (5, 3)
Plot the following points in the coordinate plane. Join them in order. What type of geometrical shape is formed?
(0, 0) (−4, 0) (−4, −4) (0, −4)
On plotting the points O(0, 0), A(3, 0), B(3, 4), C(0, 4) and joining OA, AB, BC and CO which of the following figure is obtained?
Find the quadrants without plotting the point on a graph sheet.
(5, 7)
If P(5, 1), Q(8, 0), R(0, 4), S(0, 5) and O(0, 0) are plotted on the graph paper, then the point(s) on the x-axis are ______.
In the following figure, the point identified by the coordinates (–5, 3) is ______.
Plot the following points and write the name of the figure obtained by joining them in order:
P(– 3, 2), Q(– 7, – 3), R(6, – 3), S(2, 2)
