Respuesta :
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.
∠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:
(C)SAS rule
Step-by-step 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.