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).
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Let D be (x,y)
Midpoint of AC = Mid point of BD
MP of AC = (4,2)
MP of BD = (1+x)/2 , (y-2)/2
1+x = 8 ⇒ x = 7
y-2 = 4 ⇒ y = 6
So, D (7,6)
Midpoint of AC = Mid point of BD
MP of AC = (4,2)
MP of BD = (1+x)/2 , (y-2)/2
1+x = 8 ⇒ x = 7
y-2 = 4 ⇒ y = 6
So, D (7,6)
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