Question

complete the following statement of congruence: △xyz≡____. a. △cab b. △acb c. △abc d. △bca

Explanation:

Step1: Match corresponding vertices

When two triangles are congruent, their corresponding vertices must be in the same order. By observing the orientation of the triangles, we can see that \(X\) corresponds to \(B\), \(Y\) corresponds to \(A\), and \(Z\) corresponds to \(C\).

Step2: Write the congruent - triangle statement

The correct way to write the congruence statement for \(\triangle XYZ\) is \(\triangle XYZ\cong\triangle BAC\). But looking at the given options, we need to match the order of vertices. The correct option based on the correspondence of vertices is \(\triangle XYZ\cong\triangle BCA\) as the order of vertices in congruence matters.

Answer:

D. \(\triangle BCA\)