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3 years ago

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

Mathematics

2 answers:

dedylja [7]3 years ago

7 0

Answer:

AB = DC Given

AC = DB Given

BC = BC Reflexive property

△ACB = △DBC SSS

m∠DBC = m∠ACB CPCTC

Step-by-step 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

Svet_ta [14]3 years ago

4 0

Because they are congruent sides

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