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
![**Title:** Introduction to Parallel Lines
---
**Question:** Angle \(d\) is congruent to which angles?
**Diagram Explanation:**
The diagram shows two parallel lines cut by a transversal. The following angles are annotated within the diagram:
- **Angle \(d\)**: Located at the top right of the point where the transversal intersects the top parallel line.
- **Angle 1**: Located at the bottom right of the point where the transversal intersects the top parallel line.
- **Angle 2**: Located at the top left of the point where the transversal intersects the bottom parallel line.
- **Angle 3**: Located at the bottom left of the point where the transversal intersects the bottom parallel line.
- **Angle 4**: Located at the bottom right of the point where the transversal intersects the bottom parallel line.
**Options:**
A. 1 and 2
B. 2 and 3
C. 3 and 4
D. 1 and 4
Click the correct answer to see the explanation.
---
**Explanation:**
Angles formed by a transversal intersecting two parallel lines exhibit properties of corresponding angles, alternate interior angles, and alternate exterior angles, which are congruent to each other. In this context, the congruence of angle \(d\) should be determined based on these geometric properties.
---
**Educational Resource:** Review the properties of parallel lines and transversals to understand congruent angles. [Link to Lesson on Parallel Lines and Transversals]
---
**Note:**
To accurately understand which angles are congruent to angle \(d\), it is essential to know the definitions and properties of corresponding angles and alternate angles within the context of parallel lines intersected by a transversal.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe1ffbdc7-bcfa-4b66-b142-62e3a61cb2fe%2F568f6579-df5e-48b5-980f-5edb4eb2c44f%2Fcmxrzhs_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Title:** Introduction to Parallel Lines
---
**Question:** Angle \(d\) is congruent to which angles?
**Diagram Explanation:**
The diagram shows two parallel lines cut by a transversal. The following angles are annotated within the diagram:
- **Angle \(d\)**: Located at the top right of the point where the transversal intersects the top parallel line.
- **Angle 1**: Located at the bottom right of the point where the transversal intersects the top parallel line.
- **Angle 2**: Located at the top left of the point where the transversal intersects the bottom parallel line.
- **Angle 3**: Located at the bottom left of the point where the transversal intersects the bottom parallel line.
- **Angle 4**: Located at the bottom right of the point where the transversal intersects the bottom parallel line.
**Options:**
A. 1 and 2
B. 2 and 3
C. 3 and 4
D. 1 and 4
Click the correct answer to see the explanation.
---
**Explanation:**
Angles formed by a transversal intersecting two parallel lines exhibit properties of corresponding angles, alternate interior angles, and alternate exterior angles, which are congruent to each other. In this context, the congruence of angle \(d\) should be determined based on these geometric properties.
---
**Educational Resource:** Review the properties of parallel lines and transversals to understand congruent angles. [Link to Lesson on Parallel Lines and Transversals]
---
**Note:**
To accurately understand which angles are congruent to angle \(d\), it is essential to know the definitions and properties of corresponding angles and alternate angles within the context of parallel lines intersected by a transversal.
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