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:

Question

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:

anonymous · Answer

1. segment BD is an angle bisector of ∠ABC.	1. by Construction
2. ∠ABD ≅ ∠CBD	                                    2. Definition of an Angle Bisector
3. segment BD ≅ segment BD	3. Reflexive Property
4.	                                        4. Side-Angle-Side (SAS) Postulate
5. ∠BAC ≅ ∠BCA	                 5. CPCTC