Question

In the diagram, AB= DC and AC= DB. Why does DBC = ACB?

Answer 1

Because they are congruent sides

Answer 2

AB = DC Given

AC = DB Given

BC = BC Reflexive property

△ACB = △DBC SSS

m∠DBC = m∠ACB CPCTC

Explanation:

Reflexive property basically means that something is congruent to itself

SSS means that if all 3 sides of 2 triangles are congruent, the triangles are congruent

CPCTC means C.orresponding P.arts of C.ongruent T.riangles are C.ongruent

meaning because the triangles are congruent, all the corresponding sides and angles are also congruent