Question

which statement represents the triangles shown in the diagram?

△abc≅△cde
△cab≅△ced
△bac≅△ecd
△acb≅△dce
the triangles are not congruent.

Explanation:

Step1: Analyze the congruent angles and sides

In the diagram, we have \(\angle B=\angle D\), \(\angle A=\angle E\), and \(AC = CE\) (marked as equal).

Step2: Check the congruence of triangles

By the Angle - Angle - Side (AAS) congruence criterion, \(\triangle ABC\) and \(\triangle CDE\) are congruent.

Answer:

\(\triangle ABC\cong\triangle CDE\)