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
![**Question: Which pair of angles are congruent?**
[Diagram Explanation]
The diagram contains two parallel horizontal lines intersected by a diagonal line (transversal).
- The angles formed at the points of intersection are numbered as follows:
- At the top point of intersection:
- Angle 1 (above the intersecting diagonal line, to the left)
- Angle 2 (above the intersecting diagonal line, to the right)
- Angle 3 (below the intersecting diagonal line, to the left)
- Angle 4 (below the intersecting diagonal line, to the right)
- At the bottom point of intersection:
- Angle 5 (above the intersecting diagonal line, to the left)
- Angle 6 (above the intersecting diagonal line, to the right)
- Angle 7 (below the intersecting diagonal line, to the left)
- Angle 8 (below the intersecting diagonal line, to the right)
**Options:**
- A. 3 and 4
- B. 5 and 6
- C. 1 and 8
- D. 3 and 5
**Copyright:**
- © 2003 - 2021 Acellus Corporation. All Rights Reserved.
In this context, congruent angles are angles that have the same measure. Since the diagram features parallel lines intersected by a transversal, certain pairs of non-adjacent angles formed are congruent.
**Educational Explanation:**
In this setup with parallel lines and a transversal, angles in corresponding positions are congruent. For example, angle 3 and angle 5 are corresponding angles and thus congruent. This knowledge is essential when studying the properties of parallel lines and transversals in geometry.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9e7b1523-fbb7-48a7-b23c-2eac7de95669%2F81327b60-c645-4757-8f78-f4eb2549e750%2Ftbiooj9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question: Which pair of angles are congruent?**
[Diagram Explanation]
The diagram contains two parallel horizontal lines intersected by a diagonal line (transversal).
- The angles formed at the points of intersection are numbered as follows:
- At the top point of intersection:
- Angle 1 (above the intersecting diagonal line, to the left)
- Angle 2 (above the intersecting diagonal line, to the right)
- Angle 3 (below the intersecting diagonal line, to the left)
- Angle 4 (below the intersecting diagonal line, to the right)
- At the bottom point of intersection:
- Angle 5 (above the intersecting diagonal line, to the left)
- Angle 6 (above the intersecting diagonal line, to the right)
- Angle 7 (below the intersecting diagonal line, to the left)
- Angle 8 (below the intersecting diagonal line, to the right)
**Options:**
- A. 3 and 4
- B. 5 and 6
- C. 1 and 8
- D. 3 and 5
**Copyright:**
- © 2003 - 2021 Acellus Corporation. All Rights Reserved.
In this context, congruent angles are angles that have the same measure. Since the diagram features parallel lines intersected by a transversal, certain pairs of non-adjacent angles formed are congruent.
**Educational Explanation:**
In this setup with parallel lines and a transversal, angles in corresponding positions are congruent. For example, angle 3 and angle 5 are corresponding angles and thus congruent. This knowledge is essential when studying the properties of parallel lines and transversals in geometry.
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