Answer: The coordinates of D are (-5,2).
Step-by-step explanation:
Given : The coordinates of three points in the coordinate plane are A(-2,-3), B(5,-3), C(2,2).
Let the coordinates of vertex D be (x,y).
Since ABCD is an parallelogram , then
Mid point of AC = Mid point of BD [Diagonals of parallelogram,bisects each other.] (i)
Formula for mid point between line joining (a,b) and (c,d)=
Mid point of AC =
Mid point of BD =
From (i) , we have
Hence, the coordinates of D are (-5,2).