Question

when mapping △def onto △jkl to prove they are congruent, which of the following identifies a pair of corresponding parts that are also congruent? (1 point) o ∠f≅∠j o (overline{de}congoverline{jk}) o ∠d≅∠l o (overline{df}congoverline{kl})

Explanation:

Step1: Recall congruent - triangle mapping rules

When mapping $\triangle DEF$ onto $\triangle JKL$ for congruence, the order of vertices matters. Corresponding vertices are paired up.

Step2: Identify corresponding vertices

The most likely mapping of $\triangle DEF$ onto $\triangle JKL$ gives us the following correspondences: $D$ corresponds to $J$, $E$ corresponds to $K$, and $F$ corresponds to $L$.

Step3: Check each option

• For $\angle F\cong\angle J$, this is incorrect as $F$ corresponds to $L$ and $J$ corresponds to $D$.
• For $\overline{DE}\cong\overline{JK}$, since $D$ corresponds to $J$ and $E$ corresponds to $K$, the line - segment $\overline{DE}$ corresponds to $\overline{JK}$ and they are congruent if the triangles are congruent.
• For $\angle D\cong\angle L$, this is incorrect as $D$ corresponds to $J$ and $L$ corresponds to $F$.
• For $\overline{DF}\cong\overline{KL}$, this is incorrect as $D$ corresponds to $J$ and $F$ corresponds to $L$, so $\overline{DF}$ corresponds to $\overline{JL}$.

Answer:

$\overline{DE}\cong\overline{JK}$