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

In the given figure, angle ADE = angle B (i) Show that Delta ABC ~ Delta ADE (ii) If AD = 3.8 cm, AE = 3.6cm, BE = 2.1 cm and BC = 4.2 cm, find DE.

In the given figure, AL || DC, E is mid point of BC. Show that DeltaEBL ~= DeltaECD .

In quadrilateral ABCD, AB = CD, BC=AD show that DeltaABC ~= DeltaCDA Consider DeltaABC and DeltaCDA

In quadrilateral ACBD, AC = AD and AB bisects /_A Show that DeltaABC~= DeltaABD . What can you say about BC and BD?

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 given figure, AB || CD || EF. given that AB=7.5 cm, DC= y cm EF = 4.5 cm and BC = x cm, find the values of x and y.

In a triangle ABC (see figure), E is the midpoint of median AD, show that (i) ar DeltaABE = ar DeltaACE (ii) ar DeltaABE=1/4ar(DeltaABC)

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

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

Line AB and CD are intersecting at ‘O’, OA = OB and OD = OC. Show that (i) Delta AOD ~= DeltaBOC and (ii) AD || BC .