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The congruence theorem that can be used to prove triangle LON is congruent to triangle LMN is

The congruence theorem that can be used to prove triangle LON is congruent to triangle LMN is class=

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yoongles31
sss, because LN=LN (reflexive property)
JeanaShupp

Answer:  SSS

Step-by-step explanation:

In the given picture we have two triangles [tex]\triangle{LON}[/tex] and [tex]\triangle{LMN}[/tex] in which

[tex]\overline{LO}\cong\overline{LM}\ \ \ \text{[Given]}\\\\\overline{ON}\cong\overline{MN}\ \ \ \text{[Given]}\\\\\overline{LN}\cong\overlien{LN}\ \ \ \text{[Reflexive Property]}[/tex]

Thus by SSS congruence criteria we have,

[tex]\triangle{LON}\cong\triangle{LMN}[/tex]

  • SSS congruence criteria says that if all three sides of a triangle are congruent to the corresponding sides of the other triangle then the triangle are congruent.

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