Which of the following choices are correct ways to name the line in the figure below? Y K T V Select all that apply.) VR TV KR KV R.

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
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**Question:**

Which of the following choices are correct ways to name the line in the figure below?

**Diagram Description:**

A horizontal line with three labeled points:
- On the line: K, T, V
- Above the line: Y, R

The line extends indefinitely in both directions, suggesting it is a line rather than a line segment or ray.

**Answer Choices (Select all that apply):**

1. \( \overleftrightarrow{VK} \)
2. \( \overleftrightarrow{TV} \)
3. \( \overleftrightarrow{KR} \)
4. \( \overrightarrow{KV} \)

**Explanation:**

To correctly name a line, select any two points on the line and use the double-headed arrow notation. Points Y and R are not on the line, so they should not be used.

**Correct Answers:**

- \( \overleftrightarrow{VK} \)
- \( \overleftrightarrow{TV} \)

**Note:**

- \( \overleftrightarrow{KR} \) is incorrect because R is not on the line.
- \( \overrightarrow{KV} \) is incorrect because it's a ray, not a line.
Transcribed Image Text:**Question:** Which of the following choices are correct ways to name the line in the figure below? **Diagram Description:** A horizontal line with three labeled points: - On the line: K, T, V - Above the line: Y, R The line extends indefinitely in both directions, suggesting it is a line rather than a line segment or ray. **Answer Choices (Select all that apply):** 1. \( \overleftrightarrow{VK} \) 2. \( \overleftrightarrow{TV} \) 3. \( \overleftrightarrow{KR} \) 4. \( \overrightarrow{KV} \) **Explanation:** To correctly name a line, select any two points on the line and use the double-headed arrow notation. Points Y and R are not on the line, so they should not be used. **Correct Answers:** - \( \overleftrightarrow{VK} \) - \( \overleftrightarrow{TV} \) **Note:** - \( \overleftrightarrow{KR} \) is incorrect because R is not on the line. - \( \overrightarrow{KV} \) is incorrect because it's a ray, not a line.
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