Using Midpoints to Find the Vertices of a Triangle

Using Midpoints to Find the Vertices of a Triangle

In \(\Delta PQR\), the midpoints of the sides \(PQ\), \(PR\) and \(QR\) are \(A\left( -4,5 \right)\), \(B\left( 5,-7 \right)\) and \(C\left( 0,-2 \right)\) respectively. Find the coordinates of \(P\), \(Q\) and \(R\).

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Answer:\(P=(1,0)\), \(Q=(-9,10)\), \(R=(9,-14)\)

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