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Question

# ABCD is a parallelogram with vertices A (X1, Y1) , B(X2, Y2) and C (X3, Y3). Then the coordinates of the fourth vertex D in terms of the coordinates of A, B and C are

A

X1 + X3 - X2, Y1 + Y3 - Y2

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B

X1 + X2 - X3, Y1 + Y2 - Y3

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C

X1 - X2 - X3, Y1 - Y2 - Y3

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D

X1 + X2 + X3, Y1 + Y2 + Y3

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Solution

## The correct option is A X1 + X3 - X2, Y1 + Y3 - Y2 Let the coordinates of D be (X, Y). We know that diagonals of the parallelogram dissect each other. Therefore, Mid-point of AC = Mid-point of BD

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