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Q.

Three vertices of a rectangle ABCD are A (3, 1), B (–3, 1) and C (–3, 3). Using the graph, the coordinates of the fourth vertex D are:


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a

(3, 5)

b

(6, 3)

c

(3, 3)

d

(2, 8) 

answer is C.

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Detailed Solution

Given three vertices of a rectangle ABCD are A (3, 1), B (–3, 1) and C (–3, 3).
Plotting the 3 points of rectangle and joining all the points to get coordinates of the point D.
The point D will have the same x-coordinate as A, and it will have the same y-coordinate as C.
Question ImageHence, the coordinates of point D is (3, 3).
Hence, option 3 is correct.
 
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Three vertices of a rectangle ABCD are A (3, 1), B (–3, 1) and C (–3, 3). Using the graph, the coordinates of the fourth vertex D are: