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)

a

Line segment BD ≅ Line segment AC

b

Line segment BD ≅ Line segment BD

c

Line segment AC≅ Line segment AC

d

Line segment AD≅ Line segment DC