In the given figure, if OA = OB and OC = OD, then △AOD≅△BOC by ____ criterion of congruency.
A
ASA
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B
RHS
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C
SAS
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D
SSS
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Solution
The correct option is C SAS
In △AOD and △BOC we have,
OA = OB (given)
OC = OD (given) ∠COB=∠DOA ..... (vertically opposite angles included between the corresponding sides)
Therefore, △AOD≅△BOC by SAS criterion for congruency of triangles.