Question

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. 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


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

Answer 1

AC=AC also by reflexive property, but that won't give you the information you need for SAS.

Answer 2

Jk

Answer 3

AC=AC also by reflexive property

Answer 4

Medal?

Answer 5

First, notice that reason 2 is "definition of angle bisector."
Second, notice that the proof uses a pair of congruent triangles.
Find all the corresponding congruent parts of the two triangles that are proved congruent.
The missing pair of congruent parts is the statement you need.

Answer 6

those arent any of the options