Question

# In ΔABC shown below, is congruent to :

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Given: ≅

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. ∠ABD ≅ ∠CBD 2. Definition of an Angle Bisector

3. BD ≅ BD 3. Reflexive Property

4. 4. Side-Angle-Side (SAS) Postulate

5. ∠BAC ≅ ∠BCA5. CPCTC

Which statement can be used to fill in the numbered blank space? ΔDAB ≅ ΔDBC

ΔABD ≅ ΔABC

ΔABC ≅ ΔCBD

ΔABD ≅ ΔCBD