Question

help with this proof please-medal and fan rewarded(:

In ΔABC shown below, line segment AB is congruent to line segment BC:

Given: line segment AB≅line segment BC

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:

1. segment BD is an angle bisector of ∠ABC.
1. by Construction

2.
2. Definition of an Angle Bisector

3. segment BD ≅ segment BD
3. Reflexive Property

4. ΔABD ≅ ΔCBD
4. Side-Angle-Side (SAS) Postulate

5. ∠BAC ≅ ∠BCA
5. CPCTC

Answer 1

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

∠DBA ≅ ∠CDB

∠CAB ≅ ∠ACB

∠ABD ≅ ∠CBD

∠BDA ≅ ∠BDC