Question

1. given that △mtw≅△cad, which segments are corresponding parts of the congruent triangles?

○ $overline{mt}congoverline{cd}$
○ $overline{tw}congoverline{cd}$
○ $overline{mw}congoverline{cd}$

Explanation:

Step1: Recall congruent - triangle property

Corresponding parts of congruent triangles are equal. When \(\triangle MTW\cong\triangle CAD\), the vertices match as \(M\) with \(C\), \(T\) with \(A\), and \(W\) with \(D\).

Step2: Identify corresponding segments

The segment \(\overline{TW}\) corresponds to \(\overline{AD}\), \(\overline{MW}\) corresponds to \(\overline{CD}\), and \(\overline{MT}\) corresponds to \(\overline{CA}\).

Answer:

\(\overline{MW}\cong\overline{CD}\)