Question

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

Answer 1

sss, because LN=LN (reflexive property)

Answer 2

Answer: SSS

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.