Question 1198202: If segment OM is perpendicular to segment BA, segment ON is perpendicular to segment CB, M is the midpoint of segment AB, N is the midpoint of segment BC
Prove: segment OA = segment OB = segment OC
Answer by greenestamps(13198)   (Show Source):
You can put this solution on YOUR website!
You can do the formal proof, if a formal proof is needed.
Since ON is perpendicular to CB and N is the midpoint of segment CB, triangles ONB and ONC are congruent, which makes segments OB and OC congruent.
By the same argument, triangles OMA and OMB are congruent, making segments OA and OB congruent.
So segments OA, OB, and OC are all congruent.
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