Name the transversal. 3. 5/6 7. 8. A. Line L B. Line M C. Line N D. There is no transversal 1.

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
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### Understanding Transversals in Geometry

In this educational exercise, we explore the concept of a transversal in geometry. A transversal is a line that intersects two or more other lines at distinct points.

#### Diagram Explanation

In the given diagram, we have three lines labeled as:
- **Line L**
- **Line M**
- **Line N**

The intersecting points and corresponding angles are marked as follows:

- **Angles 1, 2**: Created by the intersection of Line N and Line L.
- **Angles 3, 4**: Created by the intersection of Line N and Line L.
- **Angles 5, 6**: Created by the intersection of Line N and Line M.
- **Angles 7, 8**: Created by the intersection of Line N and Line M.

#### Question Prompt

The question asks: **Name the transversal.**

**Options provided are:**
- **A. Line L**
- **B. Line M**
- **C. Line N**
- **D. There is no transversal**

#### Analysis

To determine which line is the transversal, observe which line intersects the other two lines at distinct points. 

- **Line L** intersects **Line N** at angles 1 and 2, and **Line N** at angles 5 and 6.
- **Line M** intersects **Line N** at angles 3 and 4, and **Line N** at angles 7 and 8.
- **Line N** intersects both **Line L** and **Line M** at distinct points.

In this case, **Line N** is the transversal as it intersects both **Line L** and **Line M**.

#### Correct Answer

The correct answer is:
- **C. Line N**
Transcribed Image Text:### Understanding Transversals in Geometry In this educational exercise, we explore the concept of a transversal in geometry. A transversal is a line that intersects two or more other lines at distinct points. #### Diagram Explanation In the given diagram, we have three lines labeled as: - **Line L** - **Line M** - **Line N** The intersecting points and corresponding angles are marked as follows: - **Angles 1, 2**: Created by the intersection of Line N and Line L. - **Angles 3, 4**: Created by the intersection of Line N and Line L. - **Angles 5, 6**: Created by the intersection of Line N and Line M. - **Angles 7, 8**: Created by the intersection of Line N and Line M. #### Question Prompt The question asks: **Name the transversal.** **Options provided are:** - **A. Line L** - **B. Line M** - **C. Line N** - **D. There is no transversal** #### Analysis To determine which line is the transversal, observe which line intersects the other two lines at distinct points. - **Line L** intersects **Line N** at angles 1 and 2, and **Line N** at angles 5 and 6. - **Line M** intersects **Line N** at angles 3 and 4, and **Line N** at angles 7 and 8. - **Line N** intersects both **Line L** and **Line M** at distinct points. In this case, **Line N** is the transversal as it intersects both **Line L** and **Line M**. #### Correct Answer The correct answer is: - **C. Line N**
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