document.write( "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\r
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\n" ); document.write( "\n" ); document.write( "Prove: segment OA = segment OB = segment OC
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Algebra.Com's Answer #831794 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "You can do the formal proof, if a formal proof is needed.

\n" ); document.write( "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.

\n" ); document.write( "By the same argument, triangles OMA and OMB are congruent, making segments OA and OB congruent.

\n" ); document.write( "So segments OA, OB, and OC are all congruent.

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