In trapezium ABCD, `AB||DC`. E and F are points on non-parallel sides AD and BC respectively such that `EF||AB`.
Show that `(AE)/(ED)=(BF)/(FC)`.

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)

In the figure D, E are points on the sides AB and AC respectively of DeltaABC such that ar(DeltaDBC) = ar(DeltaEBC) . Prove that DE || BC.

ABCD is a trapezium in which AB||CD . P and Q are midpoints of bar(AD) and bar(BC) respectively. If AB=10 cm, PQ=8 cm, then CD=____ .

In DeltaABC , E and F are the points on the sides AB and AC respectively. IF AE=2 cm, EB=2.5 cm, AF=4 cm, and FC=5 cm, then………………

In DeltaABC , if D, E, F are the midpoints of the sides BC, CA and AB respectively, then what is the magnitude of the vector bar(AD)+bar(BE)+bar(CF) ?

ABCD is a trapezium. AB || CD, P, Q are the mid-points AD and BC respectively. If AB=10cm, CD=18 cm, then PQ=?

In a parallelogram ABCD, E and F are the midpoints of the sides AB and DC respectively. Show that the line segments AF and EC trisect the diagonal BD.

E and F are respectively the mid-points of equal sides AB and AC of DeltaABC (see figure) Show that BF = CE.

In /_\ABC , D and E are points on AB and AC respectively. If AB=14 cm, AD=3.5 cm, AE=2.5 cm and AC=10 cm, show that DE|\|BC .