6. (i) Draw a rectangle ABCD with base 4 cm and diagonal BD = 5 cm. Measure CB. Take any point P on AD. Join BP. From C draw a line parallel to BP to meet AP produced at Q.
(ii) What type of quadrilateral is PBCQ ?
(iii) Prove that the area of the rectangle ABCD is equal to that of the figure PBCQ.
(iv) Prove that the area of the triangle PBC is half the area of the rectangle ABCD.
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