Answer:
4.Side Side Angle Congruence (SSA)
5.Corresponding Parts of Congruent Triangles
Step-by-step explanation:
Statement

Reason
4.Side Angle Side Congruence (SSA)
Step-by-step explanation:
Two triangles are congruent by SSA if two respective sides and one respective angle are congruent. In this case, ∠ A for both triangles.
Statement

Reason
5. Corresponding Parts of Congruent Triangles
Since these triangles are congruent by SSA congruence they have corresponding sides: BD and DC. BD and DC are one of the corresponding parts of these congruent triangles sharing the same measure.