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Question: in abc shown below is congruent to given ...

Question details

In ΔABC shown below, AB is congruent to ВС :

Triangle ABC, where sides AB and CB are congruent

Given: ABВС

Prove: The base angles of an isosceles triangle are congruent.

The two-column proof with missing statement proves the base angles of an isosceles triangle are congruent:

Statement Reason
1. BD is an angle bisector of ∠ ABC. 1. by Construction
2. 2. Definition of an Angle Bisector
3. BDBD 3. Reflexive Property
4. ΔABD ≅ ΔCBD 4. Side-Angle-Side (SAS) Postulate
5. ∠ BAC ≅ ∠ BCA 5. CPCTC

Which statement can be used to fill in the numbered blank space? (4 points)

∠ DBA ≅ ∠ CDB

∠ CAB ≅ ∠ ACB

∠ ABD ≅ ∠ CBD

∠ BDA ≅ ∠ BDC

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