Given: ,
Prove: ∆ABC ≅ ∆DCB

Look at the proof. Name the postulate you would use to prove the two triangles are congruent.

Given Prove ABC DCB Look at the proof Name the postulate you would use to prove the two triangles are congruent class=

Respuesta :

sss postulate all sides are congruent

Answer:

(A) SSS Postulate

Step-by-step explanation:

Given: AB≅DC and AC≅DB.

To prove: ΔABC is congruent to ΔDCB.

Proof: It is given that AB≅DC and AC≅DB, thus let us consider  ΔABC and ΔDCB, then

AB≅DC (Given)

AC≅DB (Given)

BC=BC (Reflexive property of congruence)

Thus, by SSS rule of congruency, ΔABC is congruent to ΔDCB that is ΔABC≅ΔDCB.

Hence, option A is correct.