Answer:
E
Step-by-step explanation:
When we write that 2 triangles are congruent we have to write the letters in order of their corresponding sides so ΔABC has the sides in order
AB, then BC, and then CA
the corresponding sides of the other triangle are
DC, then CB, then BD so the other triangle should be Δ DCB
because (AB≅DC, BC≅CB, CA≅BD)
In this case we eliminate the A,B,C answers.
D is also not correct because we do not know if <ABC is congruent with <DCB
E is correct because we are given the sides AB≅DC, and CA≅BD and we know that BC≅CB because of the reflexive property (a line segment is congruent with itself).
We have 3 ≅sides so we can use the Side-Side-Side Congruence Theorem
F is not correct because we have enough information.
