Question

In the given figure, if OA = BO and OC = OD, then, $\Delta AOD$ $\cong$ $\Delta BOC$ by __ congruence rule.

• A. SAS
• B. RHS
• C. SSS
• D. ASA

Answer 1

The correct option is A SAS

In $\Delta AOD$ and $\Delta BOC$, we have,

OA = OB (given)

OD = OC (given)

$\angle$AOD = $\angle$BOC (vertically opposite angles)

Therefore, $\Delta AOD$ $\cong$ $\Delta BOC$ (by S.A.S. congruence condition)