# Three vertices of parallelogram ABCD are A (2, 2), B(-4, 3) and C (-1, -3). Identify the coordinates of vertex D. Please help

1 answer

###### 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

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

Please help

## Answers

Answer:D (5 , -4)Step-by-step 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 = DFFor D (x,y)BE = 2 - (-4) = 6 DF = x - (-1) = x + 1 = 6x = 5AE = 2-3 = -1 CF = y - (-3) = y + 3 = -1y = -4D (5 , -4)

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