Question 175776
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              statement                 reason
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1. angle BAC congruent to Angle BCA     1.given
   BD  congruent to  BE

2. AB congruent to CB                   2.base angle converse*

3. angle DBC congruent to angle EBA     3.vertical angles*

4.{{{DELTA}}}DBC congruent to{{{DELTA}}}EBA              4.SAS*

5.angle BDC congruent to angle BEA      5.CPCTC*
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*base angle converse: if two angles of a triangle are congruent, the sides opposite thes angles are congruent
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*vertical angles: vertical angles are congruent
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*SAS: if two sides and the included angle of one {{{DELTA}}} are congruent to the corresponding parts of another {{{DELTA}}}, the  {{{DELTA}}}'s are congruent
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*CPCTC:corresponding parts congruent {{{DELTA}}}'s congruent