Given that the four points A(1,2), B(2, -5), C(7,0) and D(p, q) are the vertices of the rhombus ABCD calculate

a) the value of p and of q​

Step-by-step explanation:

Three coordinates of a Rhombus is given to us. And the fourth coordinate is D(p,q) . Weneedtofind the value of p and q . We know that the diagonals of Rhombus bisect each other at right angles . So lets find the midpoint.

• Midpoint of AC :-

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• Midpoint of BD :-

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Now since these two coordinates must be equal, therefore ,