Question

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

• A. SSS
• B. SAS
• C. ASA
• D. AAS

Answer 1

The correct option is B SAS

In $△$AOD and $△$BOC, we have,

OA = OB (given)

OD = OC (given)

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

Therefore, $△AOD\cong △BOC$ (by SAS congruence condition)

Since $\angle$AOD and $\angle$BOC are the included angles for sides OA & OD and OB & OC respectively, we have the triangles congruent by using SAS congruence rule.