In the given figure A,B and C are points are OP,OQ and OR respectively such that `AB||PQ` and `AC||PR`. Show that `BC||QR`.

In the given figure, A, B and C are points on OP,OQ and OR respectively that AB|\|PQ and AC|\|PR . Show that BC|\|QR .

In the adjacent figure, AC= PR and C, R mid points of AB and PQ respectively.S.T. AB = PQ.

In the adjacent figure, we have AC = XD, C and D are mid points of AB and XY respectively. Show that AB = XY.

In the below given figure P and Q are points on the sides AB and AC respectively of triangle ABC such that AQ = 3cm, QC= 5cm and PQ ||BC . Find the ratio of areas traingle APQ and triangle ABC .

In the adjacent figures, S and T are points on the sides PQ and PR respectively of triangle PQR such that PT = 2cm, TR = 4cm and ST||QR . Find the ratio of the areas of triangle PST and triangle PQR .

In the given figure , DE||OQ and DF||OR . Show that EF||QR .

In the given figure, AB=BC and AC=CD. Prove that angelBAD: angelADB = 3:1

In the given figure ABC is a right triangle and right angled at B such that /_BCA = 2/_BAC. Show that hypotenuse AC = 2BC.

In the given figure, DE|\|OQ and DF|\|OR . Show that EF|\|QR .

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.