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

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

In Delta ABC , AB = AC and BC = 6cm, D is a point on the side AC such that AD = 5cm and CD = 4cm, show that Delta BCD ~ Delta ABC and hence find DB .

In the given figure lines bar(AB) and bar(CD ) intersect at O. If angleAOC+ angleBOE= 70^(@) and angleBOD = 40^(@) , find angleBOE and reflex angleCOE .

AD is an altitude of an isosceles triangle ABC in which AB = AC. Show that, (i) AD bisects BC (ii) AD bisects /_ A.

In the adjoining figure "seg "Cebot" side " AB, " seg" AD bot" side " BC. Prove that (i) DeltaAEP~DeltaCDP (ii) DeltaAEP~DeltaADB

In the figure, if BD bot AC and CE bot AB , prove that (i) Delta AEC~ Delta ADB " " (ii) (CA)/(AB)=(CE)/(DB)

In the given figure, AB and CD are the parallel chords of a circle with centre O. Such that AB = 8 cm and CD = 6 cm. If OMbotAB and OLbotCD distance becween LM is 7 cm. Find the radius of the circle ?

In figure DE|| BC and CD||EF. Prove that AD^(2)=AB xx AF .