document.write( "Question 741823: What must I show to prove the theorem given below?: \r
\n" ); document.write( "\n" ); document.write( "The median drawn to the base of an isosceles triangle bisects the vertex angle. (Basically, picture an isosceles triangle with sides AB and AC congruent, and X bisects the triangle, cutting it in half, so that BX is congruent to XC.)
\n" ); document.write( "

Algebra.Com's Answer #452160 by fcabanski(1391)\"\" \"About 
You can put this solution on YOUR website!
AB is congruent AC - Definition of an Isosceles triangle


\n" ); document.write( "BX is congruent to XC - Definition of a bisector


\n" ); document.write( "AX = AX - Reflexive property of equality (draw lines over the AX)


\n" ); document.write( "AX congruent to AX - definition of congruent.


\n" ); document.write( "Triangle ABX congruent to triangle ACX - SSS


\n" ); document.write( "Angle BAX congruent angle CAX - CPCTC (corresponding parts of congruent triangles are congruent


\n" ); document.write( "AX bisects angle BAC - Definition of angle bisector.
\n" ); document.write( "

Hope the solution helped. Sometimes you need more than a solution. Contact fcabanski@hotmail.com for online, private tutoring, or personalized problem solving (quick for groups of problems.)
\n" ); document.write( " \n" ); document.write( "

\n" );