A quadrilateral PQRS has vertices at P(2, 5), Q(11, 7), R(9, 6) and S(4, 8). a.

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A quadrilateral PQRS has vertices at P(–2, –5), Q(11, – 7), R(9, 6) and S(–4, 8).

a. Work out the lengths of the four sides of PQRS.

b. Find the coordinates of the midpoints of the diagonals PR and QS.

c. Without drawing a diagram, show that PQRS cannot be a square. What shape is PQRS?

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