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G 4.) Given: FH bisects 2GFJ and ZGHJ 3. F 1 H. Conclusion: FG = F] Statements Reasons

G 4.) Given: FH bisects 2GFJ and ZGHJ 3. F 1 H. Conclusion: FG = F] Statements Reasons

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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### Given Information: Line segment \( FH \) bisects \(\angle GFJ\) and \(\angle GHJ\). ### Conclusion: \( FG \cong FJ \) ### Diagram Explanation: A kite-shaped quadrilateral is shown with vertices labeled \( F \), \( G \), \( H \), and \( J \). The line segment \( FH \) runs horizontally between the vertices \( F \) and \( H \), and it bisects the angles at \( G \) and \( H \). The angles at the intersection points are labeled with numbers: \(\angle GFJ\) has parts labeled \(1\) and \(2\), and \(\angle GHJ\) has parts labeled \(3\) and \(4\). ### Proof Structure: | **Statements** | **Reasons** | | --- | --- | | | | The table is prepared for listing logical statements and their reasons to demonstrate why \( FG \cong FJ \) based on the given information and diagram.
Transcribed Image Text:### Given Information: Line segment \( FH \) bisects \(\angle GFJ\) and \(\angle GHJ\). ### Conclusion: \( FG \cong FJ \) ### Diagram Explanation: A kite-shaped quadrilateral is shown with vertices labeled \( F \), \( G \), \( H \), and \( J \). The line segment \( FH \) runs horizontally between the vertices \( F \) and \( H \), and it bisects the angles at \( G \) and \( H \). The angles at the intersection points are labeled with numbers: \(\angle GFJ\) has parts labeled \(1\) and \(2\), and \(\angle GHJ\) has parts labeled \(3\) and \(4\). ### Proof Structure: | **Statements** | **Reasons** | | --- | --- | | | | The table is prepared for listing logical statements and their reasons to demonstrate why \( FG \cong FJ \) based on the given information and diagram.
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