- ASAS (AO=BO, angle AOC=angle BOD, OC=OD)
- BSSS
- CRHS
- DAAA
Step-by-Step Solution
Bisection gives AO=BO and OC=OD; vertically opposite angles give angle AOC = angle BOD. Included angle => SAS.
Answer: A) SAS (AO=BO, angle AOC=angle BOD, OC=OD)
Two line segments AB and CD bisect each other at O.
To prove triangle AOC is congruent to triangle BOD, the correct criterion using vertically opposite angles is:
Class 9Criteria for CongruenceGeometry — Triangles
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