Question

In the adjoining figure AO is equal to BO and angle A is equal to angle B. Is AOC is equal to BOD why?

Answer 1

Answer:

In triangles AOC and BOD, we have

AO = BO (O, the midpoint of AB);

∠AOC=∠BOD, (vertically opposite angles);

CO=OD, (O, the midpoint of CD)

So by SAS postulate we have

△AOC≅△BOD.

Hence, AC = BD, as they are corresponding parts of congruent triangles.

Answer 2

Answer:

As given in figure that AB and CD are straight lines

So angleAOC = angleBOD. {VERTICALLY OPPOSITE ANGLES ARE EQUAL}