To determine pairs of corresponding parts (sides or angles) that are congruent when mapping triangle \( \triangle DEF \) to triangle \( \triangle JKL \), we can analyze the criteria for triangle congruence.
When triangles are congruent, corresponding sides and angles must also be congruent. A common way to denote which parts correspond to each other is to establish a congruence statement such as \( \triangle DEF \cong \triangle JKL \).
In this notation:
- The vertex \( D \) corresponds to vertex \( J \).
- The vertex \( E \) corresponds to vertex \( K \).
- The vertex \( F \) corresponds to vertex \( L \).
Using this correspondence, the pairs of corresponding parts that are also congruent are:
- \( DE \) (side of \( \triangle DEF \)) is congruent to \( JK \) (side of \( \triangle JKL \)),
- \( EF \) is congruent to \( KL \),
- \( FD \) is congruent to \( LJ \),
- Angle \( D \) is congruent to angle \( J \),
- Angle \( E \) is congruent to angle \( K \),
- Angle \( F \) is congruent to angle \( L \).
So, an example of a pair of corresponding congruent parts would be \( DE \cong JK \) or \( \angle D \cong \angle J \). You should select the specific pair based on the context or options given in your question.
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