Question

triangle nlm is reflected over the line segment as shown, forming triangle abc. which congruency statement is correct?
△nlm ≅ △cab
△nlm ≅ △cba
△nlm ≅ △bca
△nlm ≅ △bac

Explanation:

Step1: Recall reflection property

When a triangle is reflected, the corresponding vertices match. Vertex N corresponds to vertex A, vertex L corresponds to vertex B, and vertex M corresponds to vertex C.

Step2: Write congruency statement

The correct way to write the congruency of \(\triangle NLM\) and its reflected - triangle \(\triangle ABC\) is \(\triangle NLM\cong\triangle ABC\) which is equivalent to \(\triangle NLM\cong\triangle CBA\) when considering the order of vertices.

Answer:

B. \(\triangle NLM\cong\triangle CBA\)