Question

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

Answer 1

If ABCD is a parallelogram,

Then A+C = B+D

D = (x,y)

A+C = (5,6) +(3,-2) = (8,4)

B+D = (1,-2) + (x,y) = (1+x,y-2)

So, 1+x = 8 ⇒ x = 7

y-2 = 4 ⇒ y = 6

So, D (7,6)

Answer 2

Step-by-step explanation:

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