Triangle LMN and Triangle UVW are congruent, satisfying the Side-Angle-Side (SAS) criterion. The marked corresponding angles and equal side lengths provide evidence for their identical size and shape.
In the given scenario, Triangle LMN is congruent to Triangle UVW. This congruence is established through the application of the Side-Angle-Side (SAS) criterion. According to this criterion, two triangles are congruent if they share two equal sides and the included angle between them is also equal.
Examining the evidence provided in the image, it is evident that corresponding angles in both triangles are marked with red letters, signifying their equality. Additionally, the side lengths of the triangles are denoted by black marks, confirming that the corresponding sides are equal.
As a result, the triangles possess identical size and shape, meeting the criteria for congruence. Therefore, Triangle LMN and Triangle UVW are congruent, in accordance with the Side-Angle-Side criterion, demonstrating the fundamental principle that congruent triangles have corresponding angles and sides of equal measure.