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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(2, 0), - 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(2, 0), B(8, 0) and C(8, 4).

आलेख

उत्तर

A(2, 0), B(8, 0) and C(8, 4).


After plotting the given points A(2,0), B(8,0) and C(8,4) on a graph paper; joining A with B and B with C. From the graph it is clear that the vertical distance between the points B(8,0) and C(8,4) is 4 units, therefore the vertical distance between the points A(2,0) and D must be 4 units. Now complete the rectangle ABCD

As is clear from the graph D(2,4)

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

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सेलिना Concise Mathematics [English] Class 9 ICSE
अध्याय 26 Co-ordinate Geometry
Exercise 26 (A) | Q 7.1 | 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 (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:
A (- 4, - 6), C(6, 0) and D(- 4, 0).


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, 4), C(4, 10) and D(-2, 10) are the vertices of a square ABCD. Use the graphical method to find the co-ordinates of the fourth vertex B. Also, find:
(i) The co-ordinates of the mid-point of BC;
(ii) The co-ordinates of the mid-point of CD and
(iii) The co-ordinates of the point of intersection of the diagonals of the square ABCD.


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


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