SOLUTION: hi thanx for helping me out : ) this is due tomarro Given:angle BAC is congruent to Angle BCA, Line BD is congruent to line BE Prove: angle BDC is congruent to angle BEA

Algebra ->  Algebra  -> Geometry-proofs -> SOLUTION: hi thanx for helping me out : ) this is due tomarro Given:angle BAC is congruent to Angle BCA, Line BD is congruent to line BE Prove: angle BDC is congruent to angle BEA       Log On

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Question 175776: hi thanx for helping me out : ) this is due tomarro
Given:angle BAC is congruent to Angle BCA, Line BD is congruent to line BE
Prove: angle BDC is congruent to angle BEA


Answer by Mathtut(3670) About Me  (Show Source):
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*************************************************************************
              statement                 reason
*************************************************************************

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.DELTADBC congruent toDELTAEBA              4.SAS*

5.angle BDC congruent to angle BEA      5.CPCTC*

*base angle converse: if two angles of a triangle are congruent, the sides opposite thes angles are congruent
:
*vertical angles: vertical angles are congruent
:
*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
:
*CPCTC:corresponding parts congruent DELTA's congruent