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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.DBC congruent toEBA 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
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*vertical angles: vertical angles are congruent
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*SAS: if two sides and the included angle of one are congruent to the corresponding parts of another , the 's are congruent
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*CPCTC:corresponding parts congruent 's congruent