Question

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

Answer 1

Answer:  SSS

Step-by-step explanation:

In the given picture we have two triangles $\triangle{LON}$ and $\triangle{LMN}$ in which

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

Thus by SSS congruence criteria we have,

$\triangle{LON}\cong\triangle{LMN}$

• 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.

Answer 2

Sss, because LN=LN (reflexive property)