document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=999029>Question 999029</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given that polygon ABCDEF is a regular hexagon, prove that AC is congruent to AE </SPAN>\n" );
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document.write( "Draw the diagonal AC and AE in the polygon.\r<BR>\n" );
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document.write( "Consider two triangles: ABC and AEF.\r<BR>\n" );
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document.write( "They are isosceles triangles, since the sides of ABCDEF are congruent.\r<BR>\n" );
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document.write( "In addition, these triangles have congruent angles B and F (they are congruent as interior angles of the regular hexagon).\r<BR>\n" );
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document.write( "According to SAS-criterion for the congruency of triangles, the triangles are congruent.\r<BR>\n" );
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document.write( "Hence, their corresponding sides are congruent: AC = AE.\r<BR>\n" );
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