Question

100 POINT QUESTION Which postulate or theorem can be used to prove △ABC ≅ △KLM?

Answer 1

Answer:

AAS

Step-by-step explanation:

As we know <A ≅ <K & <S ≅ <L, and then we know that CS = ML, so by following the order, we can tell that we have an angle-angle-side, so it's the angle angle side theorem, or AAS.

Answer 2

Answer:

ASA congruence theorem

Step-by-step explanation:

Given two triangles ABC and KLM.

In ΔABC and ΔKLM,

m∠CBA = m∠MLK (given angle)

BC = LM (given side)

m∠CAB = m∠MKL (given angle)

Therefore, ΔABC ≅ ΔKLM (by ASA congruence theorem)

Hence by ASA congruence theorem ΔABC ≅ ΔKLM.