Question 1186429


given:
< {{{BAC}}} is not congruent to <{{{DAC}}}

{{{AB=AD}}}

prove:

{{{BC}}} is not congruent{{{ DC}}}

guidelines for writing indirect proof:

1. identify the statement that you want to prove is true
2. begin by assuming the statement is false, assume its opposite is true
3. obtain statements that are logically follow  from your assumption
4. if obtain contradiction,  then the original statement must be true



statement......................................................reason

1. < {{{BAC}}} is not congruent to <{{{DAC}}}.............given

2.{{{ AB=AD}}}.....................................................given

3. {{{BC}}} is congruent {{{DC}}}.....................................indirect proof assumption
4. {{{C}}} is midpoint of{{{ BD}}}....................................definition of midpoint
5. {{{AC}}} is bisector of <{{{ABC}}}...............................definition of bisector
6. < {{{BAC}}} is congruent to <{{{DAC}}}....................reflexive property
7. contradiction (3,6)...........................................the {{{assumption}}} is {{{false}}}