Question

In the figure 10.12, if BAO = DCO and OC = OD, show that AB || CD


Fig. 10.12​

Answer 1

Answer:

In△AOD&△BCO

=>OD=OC (given)

OA=OB(given)

∠AOD=∠COB (vertically opposite)

=>△AOD≅△BOC

∠OAD=∠OBC(angles corresponding to congruent sides)

[∵ AD & BC make equal angles with the same line AB]

HenceAD∣∣BC

Answer