Question

select the correct triangle congruency statement(s). select all that apply.

□ △cba ≅ zxy

□ △abc ≅ △yzx

□ △zyx ≅ △cab

□ △cba ≅ △zyx

Explanation:

Step1: Analyze the correspondence of vertices

When stating triangle congruence, the order of vertices must correspond. For two congruent triangles, each vertex of one triangle corresponds to a vertex of the other triangle.

Step2: Check each option

• For $\triangle CBA\cong\triangle ZXY$: The correspondence of vertices is not correct as per the congruence of the given triangles.
• For $\triangle ABC\cong\triangle YZX$: The correspondence of vertices is not correct as per the congruence of the given triangles.
• For $\triangle ZYX\cong\triangle CAB$: The correspondence of vertices is not correct as per the congruence of the given triangles.
• For $\triangle CBA\cong\triangle ZYX$: Here, vertex \(C\) corresponds to \(Z\), vertex \(B\) corresponds to \(Y\), and vertex \(A\) corresponds to \(X\). So this congruence statement is correct.

Answer:

\(\triangle CBA\cong\triangle ZYX\)