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) You can put this solution on YOUR website! 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. \n" ); document.write( " |