Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
Related questions
Question
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).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feb6a3e0a-0e9e-4eb9-b3f8-cac67ff0b1b6%2F11c9097a-d961-46cf-8fd4-d2842c8c41a3%2Fo00lnl_processed.jpeg&w=3840&q=75)
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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