If coordinates of two adjacent vertices of a parallelogram are (3, 2),

1.	If coordinates of two adjacent vertices of a parallelogram are (3, 2), (1, 0) anddiagonals bisect each other at (2,-5), find coordinates of the other two vertices.OR
Answer» Let the coordinates of C and D be (a, b) and (c, d) ∴ (3 + a)/2 = 2 ⇒ a = 1 and (2 + b)/2 = –5 ⇒ b = –12 Also (c + 1)/2 = –5 ⇒ c = 3 and (d + 0)/2 = –5 ⇒ d = –10 ∴ Coordinate of C and D are (1, –12) and (3, –10)

If coordinates of two adjacent vertices of a parallelogram are (3, 2), (1, 0) anddiagonals bisect each other at (2,-5), find coordinates of the other two vertices.OR

Answer»

Let the coordinates of C and D be (a, b) and (c, d)

∴ (3 + a)/2 = 2

⇒ a = 1

and (2 + b)/2 = –5

⇒ b = –12

Also

(c + 1)/2 = –5

⇒ c = 3

and (d + 0)/2 = –5

⇒ d = –10

∴ Coordinate of C and D are (1, –12) and (3, –10)