Question

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

○ (overline{mt}congoverline{ca})
○ (overline{tw}congoverline{cd})
○ (overline{mw}congoverline{ad})

Explanation:

Step1: Recall congruent - triangle property

In congruent triangles $\triangle MTW\cong\triangle CAD$, corresponding vertices are in the same order. $M$ corresponds to $C$, $T$ corresponds to $A$, and $W$ corresponds to $D$.

Step2: Identify corresponding segments

Corresponding segments are formed by corresponding vertices. So, $\overline{MT}$ corresponds to $\overline{CA}$, $\overline{TW}$ corresponds to $\overline{AD}$, and $\overline{MW}$ corresponds to $\overline{CD}$.

Answer:

All of the above (i.e., $\overline{MT}\cong\overline{CA}$, $\overline{TW}\cong\overline{AD}$, $\overline{MW}\cong\overline{CD}$)