In the figure, `AB_|_BCandDE_|_AC`. Prove that `DeltaABC~DeltaAED`.

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

In the figure, If AC=BD then prove that AB=CD.

In the adjacent figure, AB = BC and AC = CD . Prove that : /_ BAD : /_ ADB = 3 : 1.

In Fig E is a point on side CB produced of an isosceles triangle ABC with AB=AC. If ADbotBCandEFbotAC , prove that DeltaABD ~DeltaECT

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

In the given figure DE||BCandCD||BF prove that AC^(2)=AExxAF .

In the given figure , BD bot AC .Prove that AB^2 +CD^2 = AD^2 +BC^2

In the figure DE"||"AC and DF"||"AE . Prove that (BF)/(FE)=(BE)/(EC) . OR In fig LM"||"CB and LM"||"CD , Prove that (AM)/(AB)=(AN)/(AD)

Triangle ABC and parallelogram ABEF are on the same base, AB as in between the same parallels AB and EF. Prove that ar (DeltaABC) = 1/2 ar(|| gm ABEF)

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