Question

Given: ,

Prove: ∆ABC ≅ ∆DCB

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

Answer 1

sss postulate all sides are congruent

Answer 2

(A) SSS Postulate

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.