Question

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congruence and constructions - part 1
what is a correct congruence statement for the triangles shown?
enter your answer in the box.
△blg≅△pfx

Explanation:

Step1: Identify corresponding vertices

In congruent triangles, corresponding sides and angles are equal. Looking at the markings (equal - length sides and angles), we match the vertices. Vertex \(B\) corresponds to vertex \(P\) (angle markings), vertex \(L\) corresponds to vertex \(X\) (side - length markings), and vertex \(G\) corresponds to vertex \(F\) (side - length markings).

Step2: Write the congruence statement

The congruence statement is written by listing the vertices in the order of correspondence. So, \(\triangle BLG\cong\triangle PXF\)

Answer:

\(\triangle BLG\cong\triangle PXF\)