document.write( "Question 1061065: Given ad and bc bisect each other at e prove Abe = dce \n" ); document.write( "
Algebra.Com's Answer #675895 by KMST(5348)\"\" \"About 
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If AD and BC bisect each other at E, E is the midpoint of AD,
\n" ); document.write( "and E is also the midpoint of BC.
\n" ); document.write( "AE is congruent with DE because E is the midpoint of AD.
\n" ); document.write( "EB is congruent with EC because E is the midpoint of BC.
\n" ); document.write( "Angles AEB and DEC are congruent with each other,
\n" ); document.write( "because they are vertical angles,
\n" ); document.write( "formed by the intersection of lines AD and BC at point E.
\n" ); document.write( "That makes triangles AEB and DEC congruent by SAS (side-angle-side),
\n" ); document.write( "since they have congruent angles at E,
\n" ); document.write( "Flanked by pairs of congruent sides.
\n" ); document.write( "By CPCTC (Corresponding Parts of Congruent Triangles are Congruent),
\n" ); document.write( "Their corresponding angles at B and C (DCE and ABE) are congruent.
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