• In the given figure, line segment DF intersect the side AC of a AABC at the point E such that E is the mid-point of CA and BD BF ZAEF = ZAFE. Prove that DC CE

In figure, line segment DF intersects the side AC of a DeltaABC at the point E such that E is the mid-point of CA and angleAEF-angleAFE . Prove that (BD)/(CD)=(BF)/(CE)

In Figure,if AB||DC and P is the mid- point BD, prove that P is also the midpoint of AC

In the given figure ABCD is a trapezium, P is the mid-point of side AD and PR||AB||DC . Prove that R is the mid-point of side BC

In Figure,line segments AB is parallel to another line segment CDdot O is the mid-point of AD .Show that: O is also the mid-point of BD

In Figure O is the mid-point of aB and CD. Prove tat AC=BD and AC||BD.

In the given figure, D is the mid-point of BC, E is the mid-point of BD and O is the mid-point of AE. Find the ratio of area of Delta BOE and DeltaABC

In the given figure, D is the mid-point of BC, E is the mid-point of BD and O is the mid-point of AE. Find the ratio of area of Delta BOE and DeltaABC

In the given figure D is mid-point of AB. DE//BC and DF //AC . Prove that : DE = BF

In the given figure, D and E are points on the side BC of a DeltaABC such that BD = CE and AD = AE. Show that DeltaABD~=DeltaACE.

In Figure O is the mid-point of AB and CD . Prove that AOC~=BOD( b) AC=BD (iii) AC||BD