In the adjacent figure ABCD is a parallelogram ABEF is a rectangle show that `DeltaAFD~=DeltaBEC`.

In adjacent figure, /_B

Prove that a cyclic parallelogram is a rectangle.

In the adjacent figure ABCD is a square and Delta APB is an equilateral triangle. Prove that DeltaAPD ~= DeltaBPC .

In the adjacent figure ABCD is a parallelogram and E is the midpoint of the side BC. If DE and AB are produced to meet at F, show that AF = 2AB .

In the adjacent figure ABCD is a parallelogram P and Q are the midpoints of sides AB and DC respectively. Show that PBCQ is also a parallelogram.

In the following figure, ABCD is parallelogram and BC is produced to a point Q such that AD = CQ. If AQ intersect AD = CQ. If AQ intersect DC at P, Show that ar (BPC) = ar (DPQ)

E is a point on the side AD produced of a parallelogram ABCD and BE intersects CD at F. show that DeltaABE ~DeltaCFB

Diagonal AC of a parallelogram ABCD bisects A. Show that it bisects C also

If a parallelogram is cyclic, then it is a rectangle. Justify.

From the adjacent figure, the correct observation is