Question

In the given figure, $\Delta$ ABC and $\Delta$ OBC are both isosceles.
It can be concluded that:

• A. $\Delta AOB\cong \Delta AOC$
  
• B. R.H.S. rule is applied
• C. S.S.S. rule is applied
• D. $\Delta AOB\text{is not congruent to}\Delta AOC$

Answer 1

Answer: (A), (C)

The correct options are
A $\Delta AOB\cong \Delta AOC$

C S.S.S. rule is applied

In $\Delta$ AOB and $\Delta$ AOC,
AB=AC (Sides of isosceles $\Delta$ ABC).
OB=OC (Sides of isosceles $\Delta$ OBC).
AO is common
$\therefore \Delta$ AOB $\cong \Delta$ AOC (by SSS congruence)
Hence, options A and C are correct.