Question

In the following figure, OA = OC and AB = BC.

Prove that: ΔAOD≅ ΔCOD

Answer 1

Given :
In the figure, OA=OC, AB =BC
We need to prove that,  
ΔAOD≅ ΔCOD

In ΔAOD and ΔCOD,
OD =OD                ...[ common ]
∠AOD =∠COD      ...[ each=90° ]
AO = CO                ...[ given]
∴By Side-Angel-Side criterion of congruence, we have
ΔAOD≅ ΔCOD