Question

The congruence theorem that can be used to prove △MNP ≅ △ABC is

SSS.
ASA.
SAS.
AAS.

HELP QUICKLY PLEASE!!!!!!

Answer 1

Answer: SAS

∠ABC = ∠ANP (given) A
PN = BC (given) S
MB is common and AM = BN
Hence, BA = MN (S)

Hence, the SAS test proves congruency.

Answer 2

(C)SAS rule

Explanation:

Given: Two triangles △MNP and △ABC, PN=BC, ∠MNP=∠ABC and NM=BA.

To prove:△MNP ≅ △ABC

Solution:

From △MNP and △ABC, we have

PN=BC(Given in the figure)

∠MNP=∠ABC (Given in the figure)

and NM=BA (Given in the figure)

Thus, by SAS rule of congruency,

△MNP ≅ △ABC.

Hence proved.

Therefore, the rule used is SAS, thus option (C) is correct.