Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN: 9781337614085
Author: Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher: Cengage,
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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 \( H \).
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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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