Question

Select all statements that are true about the triangles.

Answer 1

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.

Answer 2

Answer:

D and E

Step-by-step explanation:

D) Δ ABC  , ΔDCB

AB = DC

BC = CB

AC =  DB

Side Side Side congruent.

E)Δ ABC  , ΔDCB

AB = DC

∠D = ∠A

AC = DB

Side Angle Side congruent.