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 AB || CD. Find the value of x, y and z.

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 adjacent figure AB || CD. Find the values of x, y and z.

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

Show that the bisectors of angles of a parallelogram form a rectangle.

P and Q are any two points lying on the sides DC and AD respectively of a parallelogram ABCD show that ar(DeltaAPB) = ar Delta(BQC)