Final answer:
In congruent triangles ∆MTW and ∆CAD, the corresponding sides and angles match in order; MT ≅ CA, TW ≅ AD, WM ≅ CD, and the angles at each of these vertices are also congruent.
Step-by-step explanation:
When triangles ∆MTW and ∆CAD are given to be congruent (≅), it means that all of their corresponding parts (angles and sides) are also congruent. To find corresponding parts we need to ensure the vertices that match each other are in the same order in the name of the triangles. Corresponding sides are: MT ≅ CA, TW ≅ AD, and WM ≅ CD. Corresponding angles are: ∠MTW ≅ ∠CAD, ∠TWM ≅ ∠CDA, and ∠TMW ≅ ∠ACD. This information is critical when solving geometry problems involving congruent triangles and applying theorems such as the Triangle Congruence Theorems (SSS, SAS, ASA, AAS, and HL).