In the adjacent figure `DeltaABC, D` is the midpoint of BC. `DE_|_AB, DF_|_AC` and `DE = DF`. Show that `DeltaBED ~= Delta CFD`.

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 adjoining figure if DE||BC , then the value of x is

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 given figure, AB||DC and AD||BC show that DeltaABC ~= Delta CDA .

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 DeltaABC and DeltaDBC are two triangles such that bar(AB) = bar(BD) and bar(AC) = bar(CD) . Show that DeltaABC ~= DeltaDBC.

In the adjacent figure, AC = AE, AB = AD and /_ BAD = /_ EAC . Show that BC = DE.

In the given figure AB || CD, BC || DE then find the values of x and y

In the figure, ΔABC, D, E, F are the midpoints of sides BC, CA and AB respectively. Show that (i) BDEF is a parallelogram (ii) ar(DeltaDEF)=1/4ar(DeltaABC) (iii) ar(BDEF)=1/2ar(DeltaABC)

In the adjoining figure if DE||BC , then (AB)/(BD)=(AC)/(CE) .