Question

the triangles are
necessarily congruent.
for each of the first three boxes, choose a statement format from the dropdown menu. you will then be able to change the letters to match the diagram for this problem.
type of statement
reason:
given
type of statement
reason:
given
type of statement
reason:
given
△mno≅△cba
reason:

Explanation:

Step1: Identify congruence criterion

We see three - pairs of corresponding sides are marked as equal. By the Side - Side - Side (SSS) congruence criterion, if three sides of one triangle are equal to three corresponding sides of another triangle, the two triangles are congruent.

Step2: Analyze given information

In \(\triangle CBA\) and \(\triangle MNO\), we have \(AB = MN\), \(BC=NO\) and \(AC = MO\) (from the markings on the diagram).

Answer:

Yes, because by SSS (Side - Side - Side) congruence criterion, since \(AB = MN\), \(BC = NO\) and \(AC=MO\) (given), \(\triangle MNO\cong\triangle CBA\).