Question

A parallelogram is drawn on a

coordinate plane so that three vertices
are located at these coordinates: (-1,2), (1,2), and (-1,-3). What are the coordinates of the fourth
vertex of the parallelogram?

Answer 1

(-3 , -3)

Explanation:

A: (-1,2), B: (1,2), and C: (-1,-3) .... D: (x,y)

slope of AB = (2-2)/(1 - -1) = 0 .... parallel to x axis

x coordinate of A is 2 units left to B (-1 vs 1)

y coordinate of C is 2 units left to B so D must be 2 units left to C: -1 -2 = -3

DC // AB , y coordinate of D = C = -3

D: (-3 , -3)