In Figure , If PQ || BC and PR || CD, prove that `(QB)/(AQ)=(DR)/(AR)` .

In Figure DE||BC and CD||EF. Prove that A D^2=A B*A F .

In figure, CD || AE and CY || BA . Prove that ar (DeltaCBX) = ar (DeltaAXY) .

In the adjoining figure, AB = CD and AB||CD prove that (i) DeltaAOB cong DeltaDOC (ii) AD and BC bisect each other at the point O.

In the given figure, if DE||AQ and DF||AR. Prove that EF||QR.

In Figure 3, AD _|_BC and BD=1/3CD . Prove that 2 CA^2 = 2 AB^2 + BC^2 .

In the following figure, OA = OC and AB = BC. Prove that : (i) angle AOB = 90^(@) (ii) Delta AOD ~= Delta COD (iii) AD = CD

In the given figure , PR gt PQ Prove that : AR gt AQ

In Figure 2, AD _|_ BC . Prove that AB^2 + CD^2 = BD^2 + AC^2 .

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

In the given figure, we have PQ=SR and PR=SQ. Prove that : (i) DeltaPQR~=DeltaSRQ (ii) anglePQR=angleSRQ