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9.           In the figure below, find the four angles A, B, C and D in the parallelogram ABCD.









         10.










                      ABCD is a parallelogram. AB is produced to E such that AB = BE . Prove that ED bisects
                      BC.
         11.          ABCD is a parallelogram where the bisectors of     A and    B intersect at P.
                                             o
                      Prove that    APB = 90
         12.          E and F are respectively the mid-points of non parallel sides AD and BC of a trapezium
                      ABCD . Prove that EF|| AB.











         13           Prove that a straight line drawn from the vertex of a triangle to the base is bisected by
                      the straight line which joins the middle points of the other sides of the triangle.
         14.          The diagonals of a parallelogram ABCD intersect at O. A line through O intersects AB at
                      X and DC at Y. Prove that OX = OY.
         15.          Prove that the straight line joining the mid-points of the diagonals of a trapezium is
                      parallel to the parallel sides and equal to half their difference.
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