When mapping △DEF onto △JKL to prove they are congruent, which of the following options identifies a pair of corresponding parts that are also congruent? Option #1: ∠F≅∠J Option #2: DF¯¯¯¯¯¯¯¯≅KL¯¯¯¯¯¯¯¯ Option #3: ∠D≅∠L Option #4: DE¯¯¯¯¯¯¯¯≅JK¯¯¯¯¯¯¯¯ (1 point) Option # identifies a pair of congruent corresponding parts.

Answer 1

To prove that triangles △DEF and △JKL are congruent, you'll want to identify corresponding parts, which include sides and angles, that are congruent in each triangle.

Based on the options you've provided, if you are mapping △DEF onto △JKL, the corresponding angles and sides must match up.

Here is a typical correspondence:

• ∠D corresponds to ∠J
• ∠E corresponds to ∠K
• ∠F corresponds to ∠L
• DE corresponds to JK
• DF corresponds to KL
• EF corresponds to JL

Let's analyze the options:

1. Option #1: ∠F≅∠J — This suggests F corresponds with J, which is not typically correct based on standard naming conventions.
2. Option #2: DF≅KL — This suggests DF corresponds with KL, which is valid.
3. Option #3: ∠D≅∠L — This suggests D corresponds with L, which is not typically the case based on standard naming conventions.
4. Option #4: DE≅JK — This suggests DE corresponds with JK, which is also valid.

Based on typical triangle naming conventions, Option #2 (DF≅KL) is a pair of corresponding congruent parts, as well as Option #4 (DE≅JK).

If only one option must be identified, select Option #2 or Option #4, as both are valid matches for corresponding parts of congruent triangles. If the task permits only a single choice and you have to select one, you might go with Option #2.