document.write( "Question 1029464: Given triangle ABC , perpendicular BED , line AB equal and congruent to line CB and D is the midpoint of line AC. Prove line AE equal and congruent to line CE. \n" ); document.write( "
Algebra.Com's Answer #644625 by LinnW(1048)\"\" \"About 
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Since D is the midpoint of of AC, AD = DC
\n" ); document.write( "Since BED is a perpendicular, angle ADB and angle CDB are each right angles
\n" ); document.write( "By SAS, Side Angle Side, we know triangle ADE is congruent to triangle CDE,
\n" ); document.write( "where AD = DC, angle ADB = CDB and DE = DE since the lines are coincident.
\n" ); document.write( "Since the triangles are congruent, AE = EC
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