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

Triangle ABC, where sides AB and CB are congruent

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:

Statement Reason
1. segment BD is an angle bisector of ∠ABC. 1. by Construction
2. ∠ABD ≅ ∠CBD 2. Definition of an Angle Bisector
3. 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)

Question 2 options:

1)

Line segment BD ≅ Line segment AC


2)

Line segment BD ≅ Line segment BD


3)

Line segment AC≅ Line segment AC


4)

Line segment AD≅ Line segment DC