Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question 7 of 10 complete the following statement of congruence: △zyx≅_…

Question

question 7 of 10
complete the following statement of congruence:
△zyx≅____.
a. △cab
b. △cba
c. △bca
d. △acb

Explanation:

Step1: Match corresponding vertices

When two triangles are congruent, the order of the vertices matters. By observing the orientation and position of the triangles, we can see that \(Z\) corresponds to \(C\), \(Y\) corresponds to \(B\), and \(X\) corresponds to \(A\).

Step2: Write the congruent - triangle statement

The correct way to write the congruence statement for \(\triangle ZYX\) is \(\triangle ZYX\cong\triangle CBA\) based on the vertex - to - vertex correspondence.

Answer:

B. \(\triangle CBA\)