Finding the Coordinates of the last Vertex of a Parallelogram

Finding the Coordinates of the last Vertex of a Parallelogram

Three of the vertices of a parallelogram \(PQRS\) are \(P\left( \frac{3}{2},-4 \right)\), \(Q\left( 11,-2 \right)\) and \(R\left( \frac{5}{2},1 \right)\). Find the midpoint of \(PR\) and use it to find the forth vertex \(S\).

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Answer:Midpoint of \(PR\): \(\left(2,-\frac32\right)\) \(S=(-7,-1)\)

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