In the diagram, ZL ZN and ZLOM ZNMO. The two column proof shows ALMO ANOM. M Statement Reason Given

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
icon
Related questions
Topic Video
Question
100%
Not sure about this question on my homework.
**In the diagram, ∠L ≅ ∠N and ∠LOM ≅ ∠NMO. The two-column proof shows ΔLMO ≅ ΔNOM.**

| Statement                | Reason                             |
|--------------------------|------------------------------------|
| 1. ∠L ≅ ∠N               | Given                              |
| 2. ∠LOM ≅ ∠NMO           | Given                              |
| 3. MO ≅ MO               | Reflexive Property of Congruence   |
| 4. ΔLMO ≅ ΔNOM           | ?                                  |

**Which of the following reasons would justify Statement 4?**

- A. AAA
- B. AAS
- C. ASA
- D. SAS (Selected)

**Diagram Explanation:**
The diagram shows a quadrilateral LMNO with diagonal MO. The angles and segments are marked to illustrate congruence between triangle LMO and triangle NOM through the given statements.
Transcribed Image Text:**In the diagram, ∠L ≅ ∠N and ∠LOM ≅ ∠NMO. The two-column proof shows ΔLMO ≅ ΔNOM.** | Statement | Reason | |--------------------------|------------------------------------| | 1. ∠L ≅ ∠N | Given | | 2. ∠LOM ≅ ∠NMO | Given | | 3. MO ≅ MO | Reflexive Property of Congruence | | 4. ΔLMO ≅ ΔNOM | ? | **Which of the following reasons would justify Statement 4?** - A. AAA - B. AAS - C. ASA - D. SAS (Selected) **Diagram Explanation:** The diagram shows a quadrilateral LMNO with diagonal MO. The angles and segments are marked to illustrate congruence between triangle LMO and triangle NOM through the given statements.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning