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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.