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
![**Image Transcription for Educational Website**
**Question:**
Which angle number represents ∠FHD?
**Diagram Description:**
The diagram shows several intersecting lines forming angles:
- Line \( \overleftrightarrow{AB} \) is horizontal.
- Line \( \overleftrightarrow{CE} \) is slanted downward from left to right, intersecting \( \overleftrightarrow{AB} \) at point \( G \).
- Line \( \overleftrightarrow{FD} \) is slanted downward from right to left, intersecting \( \overleftrightarrow{AB} \) at point \( H \).
**Points and Angles:**
- Point \( G \) is between points \( A \) and \( B \).
- Point \( H \) is between points \( E \) and \( D \).
- Angles are numbered from 1 to 6:
- Angle 1 is between lines \( \overleftrightarrow{CG} \) and \( \overleftrightarrow{HG} \).
- Angle 2 is between lines \( \overleftrightarrow{HG} \) and \( \overleftrightarrow{HB} \).
- Angle 3 is between lines \( \overleftrightarrow{HG} \) and \( \overleftrightarrow{CE} \).
- Angle 4 is between lines \( \overleftrightarrow{HG} \) and \( \overleftrightarrow{HF} \).
- Angle 5 is between lines \( \overleftrightarrow{HF} \) and \( \overleftrightarrow{HD} \).
- Angle 6 is between lines \( \overleftrightarrow{HD} \) and \( \overleftrightarrow{HE} \).
**Answer:**
∠FHD is represented by angle number 5, which is formed by the lines \( \overleftrightarrow{HF} \) and \( \overleftrightarrow{HD} \) at point \( H \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe45f6d4e-cf07-4f66-9e7e-aaf31f2d53f1%2F09207686-b28e-4211-af48-3e55fed5c7e8%2F780msfs_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Image Transcription for Educational Website**
**Question:**
Which angle number represents ∠FHD?
**Diagram Description:**
The diagram shows several intersecting lines forming angles:
- Line \( \overleftrightarrow{AB} \) is horizontal.
- Line \( \overleftrightarrow{CE} \) is slanted downward from left to right, intersecting \( \overleftrightarrow{AB} \) at point \( G \).
- Line \( \overleftrightarrow{FD} \) is slanted downward from right to left, intersecting \( \overleftrightarrow{AB} \) at point \( H \).
**Points and Angles:**
- Point \( G \) is between points \( A \) and \( B \).
- Point \( H \) is between points \( E \) and \( D \).
- Angles are numbered from 1 to 6:
- Angle 1 is between lines \( \overleftrightarrow{CG} \) and \( \overleftrightarrow{HG} \).
- Angle 2 is between lines \( \overleftrightarrow{HG} \) and \( \overleftrightarrow{HB} \).
- Angle 3 is between lines \( \overleftrightarrow{HG} \) and \( \overleftrightarrow{CE} \).
- Angle 4 is between lines \( \overleftrightarrow{HG} \) and \( \overleftrightarrow{HF} \).
- Angle 5 is between lines \( \overleftrightarrow{HF} \) and \( \overleftrightarrow{HD} \).
- Angle 6 is between lines \( \overleftrightarrow{HD} \) and \( \overleftrightarrow{HE} \).
**Answer:**
∠FHD is represented by angle number 5, which is formed by the lines \( \overleftrightarrow{HF} \) and \( \overleftrightarrow{HD} \) at point \( H \).
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