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In each of the following, the co-ordinates of the three vertices of a rectangle ABCD are given. By plotting the given points; find, in each case, the co-ordinates of the fourth vertex: A (4, 2), - Mathematics

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प्रश्न

In the following, the coordinates of the three vertices of a rectangle ABCD are given. By plotting the given points; find, in case, the coordinates of the fourth vertex:
A (4, 2), B(-2, 2) and D(4, -2).

आलेख

उत्तर

A(4,2), B(-2,-2) and D(4,-2)


After plotting the given points A(4,2), B(-2,2) and D(4,-2) on a graph paper; joining A with B and A with D. From the graph it is clear that the vertical distance between the points A(4,2) and D(4,-2) is 4 units and the horizontal distance between the points A(4,2) and B(-2,2) is 6 units, therefore the vertical distance between the points B(-2,2)and C must be 4 units and the horizontal distance between the points B(-2,2) and C must be 6 units. Now complete the rectangle ABCD

As is clear from the graph C(-2,2)

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 26: Co-ordinate Geometry - Exercise 26 (A) [पृष्ठ ३१६]

APPEARS IN

सेलिना Concise Mathematics [English] Class 9 ICSE
अध्याय 26 Co-ordinate Geometry
Exercise 26 (A) | Q 7.2 | पृष्ठ ३१६

संबंधित प्रश्न

Use the graph given alongside, to find the coordinates of the point (s) satisfying the given condition:
(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.


In the following, the coordinates of the three vertices of a rectangle ABCD are given. By plotting the given points; find, in case, the coordinates of the fourth vertex:
A(2, 0), B(8, 0) and C(8, 4).


In the following, the coordinates of the three vertices of a rectangle ABCD are given. By plotting the given points; find, in case, the coordinates of the fourth vertex:
B (10, 4), C(0, 4) and D(0, -2).


A (- 2, 2), B(8, 2) and C(4, - 4) are the vertices of a parallelogram ABCD. By plotting the given points on a graph paper; find the co-ordinates of the fourth vertex D.
Also, form the same graph, state the co-ordinates of the mid-points of the sides AB and CD.


Plot the following points on the graph paper: P(2, 5), Q(4, 0), R(0, 7), S(-3, 5), T(4, -4), U(0, -2) and V(-1, -4)


Draw a graph of each of the following equations: x + 5 = 0


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Draw a graph of each of the following equations: 2x = 7


Draw a graph of each of the following equations: 2y - 5 = 0


Consider the number of angles of a convex polygon and the number of sides of that polygon. Tabulate as follows:

Name of Polygon No. of angles No. of sides
     

Use this to draw a graph illustrating the relationship between the number of angles and the number of sides of a polygon


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