document.write( "Question 552436: Given: BC is congruent to BA and BD bisects angle CBA
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Algebra.Com's Answer #360357 by Theo(13342) $\"\"$ $\"About$

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2 triangles are formed.
\n" ); document.write( "they are triangle ABD and CBD.
\n" ); document.write( "these triangles are congruent because:
\n" ); document.write( "angle ABD and angle CBD are congruent as a result of the bisection.
\n" ); document.write( "BA is congruent to BC as given.
\n" ); document.write( "BD is congruent to BD as identity / reflection.
\n" ); document.write( "triangles are congruent by SAS
\n" ); document.write( "angle ADB is congruent to angle BDC by corresponding parts of congruent triangles.
\n" ); document.write( "angle ADC equals sum of angle ADB and angle CDB by adjacent angle sum.
\n" ); document.write( "BD bisects angle ADC by separating it into 2 equal angles adjacent to each other.
\n" ); document.write( "i don't quite know the exact words to use but this is the general idea on how to prove it.
\n" ); document.write( "draw yourself a picture and you will see what i mean.
\n" ); document.write( "here's my picture:
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