Question

Find the possible pairs of coordinates of the fourth vertex D of
a parallelogram, If three of its vertices are A(5, 6) , B(1, -2)
and C(3, -2).

Answer 1

To solve this question draw xy plane ,means +x and - x axis and y axis.

then according to the question , identify the quadrant of given points.

point A(5,6): I st quadrant

point B(1,-2): IV quadrant

point C(3,-2):IV quadrant

keeping the shape of parallelogram,we can easily find the fourth vertex.

As in B- C points there is a difference of 2 ,so the same difference is in vertex A-D.

hope the solution helps you.

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