Question

state the congruence relation for $\triangle fle$ and $\triangle fue$.
options: not necessarily congruent, asa, aaa, sss

Explanation:

Step1: Identify equal sides

From the diagram, \( FL = FU \) (marked with single tick), \( LE = UE \) (marked with double ticks), and \( FE \) is a common side to both \( \triangle FLE \) and \( \triangle FUE \).

Step2: Apply SSS congruence

SSS (Side - Side - Side) congruence criterion states that if three sides of one triangle are equal to three corresponding sides of another triangle, then the triangles are congruent. Here, \( FL = FU \), \( LE = UE \), and \( FE = FE \), so by SSS, \( \triangle FLE \cong \triangle FUE \).

Answer:

SSS (the option with "SSS")