Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

consider the diagram. the congruence theorem that can be used to prove …

Question

consider the diagram.
the congruence theorem that can be used to prove \\( \triangle lon \cong \triangle lmn \\) is
hl.
sas.
asa.
sss.

Explanation:

Step1: Identify the corresponding sides

In \(\triangle LON\) and \(\triangle LMN\), \(ON = MN\), \(OL = ML\), and \(LN = LN\) (common side).

Step2: Apply the congruence theorem

Since all three pairs of corresponding sides are equal, we use the SSS (Side - Side - Side) congruence theorem.

Answer:

SSS.