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с Name: Corresponding Angles Two Parallel Lines Cut by a Transversal Alternate Interior Angles Alternate Exterior Angles k 1/2 4/3 5/6 8/7

с Name: Corresponding Angles Two Parallel Lines Cut by a Transversal Alternate Interior Angles Alternate Exterior Angles k 1/2 4/3 5/6 8/7

Elementary Geometry For College Students, 7e
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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--- **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. ---
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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