N. Name the L corresponding angle with angle 2. 1. 4 3. 5/6 8. A. angle 1 B. angle 3 C. angle 4 D. angle 6 at 2003 - 2021 Acellus Corporation. All Rights Reserved.

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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### Geometry Exercise: Identifying Corresponding Angles

#### Question:
**Name the corresponding angle to angle 2.**

#### Diagram:
Two parallel lines, labeled \( N \) and \( M \), are intersected by a transversal line labeled \( L \). This setup forms eight angles, which are numbered as follows:

* On the top left of the intersection: Angle 7
* Directly below angle 7: Angle 8
* On the top right of the intersection: Angle 1
* Directly below angle 1: Angle 2
* Inside the intersection on the left, adjacent to angle 7: Angle 5
* Directly below angle 5: Angle 6
* Inside the intersection on the right, adjacent to angle 1: Angle 3
* Directly below angle 3: Angle 4

The angles formed are paired as corresponding angles when a transversal intersects two parallel lines.

#### Answer Choices:
- **A. Angle 1**
- **B. Angle 3**
- **C. Angle 4**
- **D. Angle 6**

#### Explanation:
To determine the corresponding angle of angle 2, look for the angle that occupies the same relative position at the other intersection. Angle 2 is in the lower-right quadrant formed by the transversal with the parallel lines. The corresponding angle to Angle 2 in the same relative position at the intersection formed by the transversal but with the parallel lines at the top intersection is **Angle 6**.

#### Correct Answer:
**D. Angle 6**

By understanding and identifying corresponding angles, students can better grasp the properties of parallel lines and transversals in geometry.
Transcribed Image Text:### Geometry Exercise: Identifying Corresponding Angles #### Question: **Name the corresponding angle to angle 2.** #### Diagram: Two parallel lines, labeled \( N \) and \( M \), are intersected by a transversal line labeled \( L \). This setup forms eight angles, which are numbered as follows: * On the top left of the intersection: Angle 7 * Directly below angle 7: Angle 8 * On the top right of the intersection: Angle 1 * Directly below angle 1: Angle 2 * Inside the intersection on the left, adjacent to angle 7: Angle 5 * Directly below angle 5: Angle 6 * Inside the intersection on the right, adjacent to angle 1: Angle 3 * Directly below angle 3: Angle 4 The angles formed are paired as corresponding angles when a transversal intersects two parallel lines. #### Answer Choices: - **A. Angle 1** - **B. Angle 3** - **C. Angle 4** - **D. Angle 6** #### Explanation: To determine the corresponding angle of angle 2, look for the angle that occupies the same relative position at the other intersection. Angle 2 is in the lower-right quadrant formed by the transversal with the parallel lines. The corresponding angle to Angle 2 in the same relative position at the intersection formed by the transversal but with the parallel lines at the top intersection is **Angle 6**. #### Correct Answer: **D. Angle 6** By understanding and identifying corresponding angles, students can better grasp the properties of parallel lines and transversals in geometry.
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