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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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Question

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).

Graph

Solution

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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Chapter 26: Co-ordinate Geometry - Exercise 26 (A) [Page 316]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 26 Co-ordinate Geometry
Exercise 26 (A) | Q 7.1 | Page 316

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