The coordinates of three points in the coordinate plane are A(-2,-3), B(5,-3), C(2,2). Find the coordinates of D if ABCD is a parrallelogram

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).

answer:

c. the third graph

the answer

b. they are parallel and will never intersect.