document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=147483>Question 147483</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Draw a triangle ABC, and let AM and BN be two of its medians, which intersect at G. Extend AM to the point P that makes GM = MP. Prove that PBGC is a parallelogram. </SPAN>\n" );
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document.write( "As GM = MP, BM = MC and < BMG = < PMC, triangles BMG and PMC are congruent.<BR>\n" );
document.write( "So < GBM = < MCP.<BR>\n" );
document.write( "Thus BG is parallel to PC.\r<BR>\n" );
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document.write( "Similarly, we can show that GC is parallel to BP.\r<BR>\n" );
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document.write( "So PBGC is a parallelogram. </SPAN>\n" );
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