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`.

ABCD is a trapezium in which AB abs CD and AD = BC. Show that DeltaABC~=DeltaBAD

AB is line segment and P is its mid point. D and E are points on the same side of AB such that BAD = ABE and EPA = DPB show that (i) Delta DAP ~= Delta EBP (ii) AD = BE

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

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

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

ABCD is a trapezium in which AB abs CD and AD = BC. Show that A=B

ABCD is a trapezium in which AB abs CD and AD = BC. Show that C=D

ABC is a triangle in which altitudes BD and CE to sides AC and AB are equal (see figure) . Show that (i) DeltaABD ~= DeltaACE (ii) AB = AC i.e., ABC is an isosceles triangle.

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