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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Transcribed Image Text:---
**Two Parallel Lines Cut by a Transversal**
**Diagram Description:**
The diagram illustrates two parallel lines, labeled \( j \) and \( k \), which are intersected by a transversal line, labeled \( t \). This intersection forms a series of angles:
- Angles: 1, 2, 3, 4 are formed at the intersection of line \( t \) and line \( j \).
- Angles: 5, 6, 7, 8 are formed at the intersection of line \( t \) and line \( k \).
**Concepts:**
1. **Corresponding Angles:**
- These are pairs of angles that are in matching positions at each intersection.
2. **Alternate Interior Angles:**
- These are non-adjacent angles on opposite sides of the transversal, but inside the two lines.
3. **Alternate Exterior Angles:**
- These are non-adjacent angles on opposite sides of the transversal, but outside the two lines.
4. **Exterior/Interior Angles on Same-Side:**
- These refer to either both angles that are outside or inside on the same side of the transversal.
**Notes:**
Understanding the relationships between these angles is crucial for solving geometric problems involving parallel lines and transversals.
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