Answer:
ΔLNO ≅ ΔLMN iff ∠LNO = ∠LNM
Step-by-step explanation:
Lets get started using the statement that...
In ΔLON and ΔLMN
Side ON ≅ Side MN
Side LN ≅ Side NM
∠LON ≅ ∠LMN
To Prove: ∠LON ≅ ∠LMN by ASA congruence theorem.
Solution: In order to prove ASA congruence between the triangles we need two angles to be congruent to each other. When we look at the figure, we see that ∠LNO ≅ ∠LNM is a common angle in both the triangles.
Hence, using this we will prove that the triangles are congruent by ASA congruence rule.
In ΔLON and ΔLMN
Side ON ≅ Side MN
∠LNO ≅ ∠LNM ( ∵ common )
∠LON ≅ ∠LMN (∵ Given )
⇒ ΔLON ≅ ΔLMN ( By ASA congruence theorem).
