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11. (a) In the quadrilateral (1) given below, AD = BC. P, Q, R and S are mid-points of AB, BD, CD and AC respectively. Prove that PQRS is a rhombus.
(b) In the figure (2) given below, ABCD is a kite in which BC = CD, AB = AD. E, F, G are mid-points of CD, BC and AB respectively. Prove that
(i) EFG = 90°.
(ii) the line drawn through G and parallel to FE bisects DA.
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