Which congruence theorem that can be used to prove MNP = ABC is
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The answer is side angle side or SAS because the markings indicate that side pn is congruent to side bc and angle n is congruent to angle b and finally side ab is congruent to side na.
Answer: SAS
Step-by-step explanation:
From the given picture , in [tex]\triangle {MNP}\text{ and }\triangle {ABC}[/tex], we have
[tex]\angle{B}\cong\angle{N}[/tex]
[tex]\overline{PN}\cong\overline{BC}[/tex]
[tex]\overline{MN}\cong\overline{AB}[/tex]
Then by SAS postulate of congruence , we have
[tex]\triangle {MNP}\cong\triangle {ABC}[/tex]
SAS postulate of congruence says that if two sides and the included angle of first triangle are congruent to two sides and the included angle of second triangle then the triangles are said to be congruent.