document.write( "Question 821377: I have an image that is a Triangle with a line from the top angle to the middle line on the bottom:\r
\n" ); document.write( "\n" ); document.write( "Given: Line segment BD is perpendicular bisector of line segment AC
\n" ); document.write( "Prove: Line Segment BD bisects Angle ABC\r
\n" ); document.write( "\n" ); document.write( "I have tried to complete this task, but seem to be stuck on if I am doing so correctly and the right steps on how to achieve this proof.\r
\n" ); document.write( "\n" ); document.write( "Statement Reason
\n" ); document.write( "Angle BDA and Angle BDC are right angles. Definition of perp. lines.
\n" ); document.write( "Angle BDA is congruent to Angle BDC. Right Angle Theorem.
\n" ); document.write( "Line Segment AD is congruent to line segment DC. Definition of segment bisc.
\n" ); document.write( "Line segment BD is congruent to line segment BD. Reflexive Property.
\n" ); document.write( "Triangle ADB is congruent to triangle CDB. SAS.
\n" ); document.write( "Line segment AB is congruent to line segment CB. CPCTC.
\n" ); document.write( "Line segment BD bisects angle ABC. CPCTC.\r
\n" ); document.write( "\n" ); document.write( "I am unsure if I am correct in getting to this answer, as I tried to utilize all theorems and properties I could relate to this problem. Please help me fix where I am wrong, so I can accomplish my task.\r
\n" ); document.write( "\n" ); document.write( "Thanks
\n" ); document.write( "

Algebra.Com's Answer #494057 by KMST(5328)\"\" \"About 
You can put this solution on YOUR website!
You do not need
\n" ); document.write( "Line segment AB is congruent to line segment CB. CPCTC.\r
\n" ); document.write( "\n" ); document.write( "What I would say instead is
\n" ); document.write( "Angle ABD is congruent to Angle CBD. CPCTC.
\n" ); document.write( "Line segment BD bisects angle ABC. Definition of angle bisector.
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