Question

Three vertices of parallelogram ABCD are A (2, 2), B(-4, 3) and

C (-1, -3). Identify the coordinates of vertex D.
Please help

Answer 1

D (5 , -4)

Explanation:

I do not use slope is equal for parallel lines and distance of opposite side of parallelogram is equal to solve, I use a very easy way to identify the 4th vertex.

AB // DC therefore AE = CF and BE = DF

For D (x,y)

BE = 2 - (-4) = 6 DF = x - (-1) = x + 1 = 6

x = 5

AE = 2-3 = -1 CF = y - (-3) = y + 3 = -1

y = -4

D (5 , -4)