## Which of the following is a justification used while proving the similarity of triangles ΔLOM and ΔMON? Definition of CongruenceDefinition of Supplementary AnglesAddition Property of EqualityTransitive Property of Equality

### The most appropriate justification to prove the similarity of triangles ΔLOM and ΔMON would be the Definition of Congruence

The most appropriate justification to prove the similarity of triangles ΔLOM and ΔMON would be the Definition of Congruence.

The Definition of Congruence states that if two figures have the same shape and size, then they are congruent. In the context of triangles, if two triangles have the same shape and size, then they are considered congruent.

In order to prove the similarity of triangles ΔLOM and ΔMON, we need to show that their corresponding angles are equal and that their corresponding sides are proportional.

By using the Definition of Congruence, we can establish that the corresponding angles of ΔLOM and ΔMON are equal. If the angles of one triangle match the angles of the other triangle, then the triangles have the same shape and are therefore congruent.

Once we establish the congruence of angles, we can use the corresponding side lengths to prove that the triangles are similar. If the corresponding sides are proportional, meaning that the ratio of one side to its corresponding side in the other triangle remains constant, then the triangles are considered similar.

In conclusion, the justification of the Definition of Congruence helps us prove the similarity of triangles ΔLOM and ΔMON by indicating that the angles of the triangles are congruent, leading to the conclusion that the triangles have the same shape and are therefore similar.

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