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4. The midpoint of EF is M(1, -1). One endpoint is E(-3, 2). Find the coordinates of endpoint F

4. The midpoint of EF is M(1, -1). One endpoint is E(-3, 2). Find the coordinates of endpoint F

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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Question
4
### Geometry Problems 1. **Midpoint and Length Calculation of Line Segment AB** - The endpoints of \( AB \) are \( A(-4, -8) \) and \( B(-1, 4) \). - **Task:** - Find the coordinates of the midpoint \( M \). - Determine the length of \( AB \). 2. **Determining Endpoint Using Midpoint** - The midpoint of \( EF \) is \( M(1, -1) \). - One endpoint is \( E(-3, 2) \). - **Task:** - Find the coordinates of endpoint \( F \). ### True or False Statement Evaluation 3. **Collinearity Check** - **Statement:** - Points \( A \), \( B \), and \( R \) are collinear. - **Task:** - Use the provided diagram to decide if the statement is true or false. ### Notes: - **Graph/Diagram Details:** - There is a reference to a diagram associated with checking collinearity, but the diagram itself is not visible or described. - **Additional Information:** - It appears that some handwritten calculations are noted, indicating operations related to \( AB = 11 \) and equations involving \( x \) values.
Transcribed Image Text:### Geometry Problems 1. **Midpoint and Length Calculation of Line Segment AB** - The endpoints of \( AB \) are \( A(-4, -8) \) and \( B(-1, 4) \). - **Task:** - Find the coordinates of the midpoint \( M \). - Determine the length of \( AB \). 2. **Determining Endpoint Using Midpoint** - The midpoint of \( EF \) is \( M(1, -1) \). - One endpoint is \( E(-3, 2) \). - **Task:** - Find the coordinates of endpoint \( F \). ### True or False Statement Evaluation 3. **Collinearity Check** - **Statement:** - Points \( A \), \( B \), and \( R \) are collinear. - **Task:** - Use the provided diagram to decide if the statement is true or false. ### Notes: - **Graph/Diagram Details:** - There is a reference to a diagram associated with checking collinearity, but the diagram itself is not visible or described. - **Additional Information:** - It appears that some handwritten calculations are noted, indicating operations related to \( AB = 11 \) and equations involving \( x \) values.
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