Five mark exercise problem VII — task. Mathematics State Board, Class 10.

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Answer variants:

(- 0.5, - 5.5)

\frac{7}{12}

(5.5, - 2)

\frac{7}{10}

(- 0.5, 5.5)

(0.5, - 1.5)

- \frac{7}{12}

(- 5.5, 2)

(0.5, 1.5)

- \frac{7}{10}

(5.5, 2)

A quadrilateral has vertices \(A(-4, -2)\), \(B(5, -1)\), \(C(6, 5)\) and \(D(-7, 6)\). Show that the mid-points of its sides form a parallelogram.

Mid point of \(AB\) \(=\) \(P\) \(=\)

Mid point of \(BC\) \(=\) \(Q\) \(=\)

Mid point of \(CD\) \(=\) \(R\) \(=\)

Mid point of \(DA\) \(=\) \(S\) \(=\)

Slope of \(PQ\) \(=\)

Slope of \(QR\) \(=\)

Slope of \(RS\) \(=\)

Slope of \(SP\) \(=\)

Thus, \(PQRS\) forms a parallelogram.

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25. Five mark exercise problem VII