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AD. If G is a point on BC such that EG DC, prove that
EG = 1/2(AB + DC)

12 ABCD is a parallelogram in which E and F are the mid points of the
sides AB and CD respectively. Prove that the segments CE and AF
trisect the diagonal BD.

13 ABCD is a square and EF is parallel to BD. R is the mid point of EF.
Prove that
(i) BE = DF
(ii) AR bisects BAD

14 P, Q, R are respectively, the mid points of sides BC, CA and AB of a
triangle ABC. PR and BQ meet at X. CR and PQ meet at Y. Prove that

(BC)
15

P is the mid-point of the side DC of parallelogram ABCD whose