MathematicsThe coordinates of the three vertices of a rectangle ABCD are given. By plotting the given points, what are the coordinates of the fourth vertex: A(4,2),B(-2,2)and D(4,-2)?

The coordinates of the three vertices of a rectangle ABCD are given. By plotting the given points, what are the coordinates of the fourth vertex: A(4,2),B(-2,2)and D(4,-2)?


  1. A
    (2,-2)
  2. B
    (-2,-2)
  3. C
    (2,2)
  4. D
    (-2,2)  

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    Solution:

    The given coordinates of the vertices of rectangle ABCD are A(4,2),B(-2,2),D(4,-2).
    We have to plot C on the graph.
    Since ABCDis a rectangle, the abscissa of C will be that of B and the ordinate of D will be that of C.
    Therefore, the coordinate of C will be (-2,-2).
    Hence, option 2 is correct.
     
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