Prove that ADEF = AJKL. D J Solution Paragraph Proof The marks on the diagram show that DE = = KL, and DF = K Answer So, by the you know that

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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For the beginning I have 

the marks on the diagram show that DE equal JK,FE equal KL and DF=JL 

answer so by the 

**Prove that △DEF ≅ △JKL.**

**Solution**

**Paragraph Proof**  
The marks on the diagram show that \(\overline{DE} \cong \overline{JL}\), \(\overline{EF} \cong \overline{LK}\), and \(\overline{DF} \cong \overline{JK}\).

**Answer**  
So, by the **SSS (Side-Side-Side) Congruence Theorem**, you know that:

△DEF ≅ △JKL.

**Diagram Explanation:**

Two right triangles are labeled △DEF and △JKL. There are tick marks on their corresponding sides to indicate congruence:

- \(\overline{DE}\) is congruent to \(\overline{JL}\) (both sides have one tick mark).
- \(\overline{EF}\) is congruent to \(\overline{LK}\) (both sides have two tick marks).
- \(\overline{DF}\) is congruent to \(\overline{JK}\) (both sides have three tick marks).
Transcribed Image Text:**Prove that △DEF ≅ △JKL.** **Solution** **Paragraph Proof** The marks on the diagram show that \(\overline{DE} \cong \overline{JL}\), \(\overline{EF} \cong \overline{LK}\), and \(\overline{DF} \cong \overline{JK}\). **Answer** So, by the **SSS (Side-Side-Side) Congruence Theorem**, you know that: △DEF ≅ △JKL. **Diagram Explanation:** Two right triangles are labeled △DEF and △JKL. There are tick marks on their corresponding sides to indicate congruence: - \(\overline{DE}\) is congruent to \(\overline{JL}\) (both sides have one tick mark). - \(\overline{EF}\) is congruent to \(\overline{LK}\) (both sides have two tick marks). - \(\overline{DF}\) is congruent to \(\overline{JK}\) (both sides have three tick marks).
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