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Question

The co-ordinates of the three vertices of a rectangle ABCD are given. By plotting the given points, find the co-ordinates of the fourth vertex:
A(2,0),B(8,0) and C(8,4).

A
(4,2)
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B
(8,0)
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C
(8,8)
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D
(2,4)
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Solution

The correct option is D (2,4)
The given co-ordinates of the vertices of the rectangle ABCD are A(2,0), B(8,0), C(8,4).
We need to plot D on the graph.
Since, ABCD is rectangle,
The abscissa of D will be same as that of A and ordinate of D will be same as that of C.
Co-ordinates of D are (2,4).
Thus, D=(2,4).
Hence, option D is correct.

192832_185647_ans_3df99d9f82b248b09f6d79d1d8f4a896.png

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