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प्रश्न
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.
उत्तर
Plot the points A, B, and C on the graph paper. Join the points to complete the parallelogram ABCD. As the distance between points A and B is 10 units, distance between the corners of the opposite side C and D will also be 10 units.
Hence, the fourth point D = (- 6, - 4)
Mid point of AB will lie at 5 units distance from A and B both which is = (3, 2)
Mid point of CD will lie at 5 units distance from C and D both which is = (-1, -4)
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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 (4, 2), B(-2, 2) and D(4, -2).
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).
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
Draw a graph of each of the following equations: y - 4 = 0
Draw a graph of each of the following equations: 2y - 5 = 0
Draw a graph of each of the following equations: x = 0
Draw a graph of each of the following equations: y = 3
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
