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Determine the coordinates of A', B', C' and D' using only reasoning (that is, without folding)

Determine the coordinates of A', B', C' and D' using only reasoning (that is, without folding)

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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Determine the coordinates of A', B', C' and D' using only reasoning (that is, without folding).

The image displays a Cartesian coordinate grid with a quadrilateral labeled as \(ABCD\) and a line of reflection labeled \(r\). **Graph Details:** - **Quadrilateral \(ABCD\):** - The points are plotted on the coordinate grid as follows: - \(A\) is located at approximately \((5, 8)\). - \(B\) is located at approximately \((6, 6)\). - \(C\) is located at approximately \((7, 7)\). - \(D\) is located at approximately \((7, 9)\). - The quadrilateral is positioned slightly tilted within the grid. - **Line of Reflection \(r\):** - The line \(r\) is vertical and runs along \(x = 4\). - It spans the length of the \(y\)-axis visible in the diagram. - An arrow on the line indicates its directional orientation along the positive \(y\)-axis. This image could be used to demonstrate transformations, specifically reflections over vertical lines in coordinate geometry.
Transcribed Image Text:The image displays a Cartesian coordinate grid with a quadrilateral labeled as \(ABCD\) and a line of reflection labeled \(r\). **Graph Details:** - **Quadrilateral \(ABCD\):** - The points are plotted on the coordinate grid as follows: - \(A\) is located at approximately \((5, 8)\). - \(B\) is located at approximately \((6, 6)\). - \(C\) is located at approximately \((7, 7)\). - \(D\) is located at approximately \((7, 9)\). - The quadrilateral is positioned slightly tilted within the grid. - **Line of Reflection \(r\):** - The line \(r\) is vertical and runs along \(x = 4\). - It spans the length of the \(y\)-axis visible in the diagram. - An arrow on the line indicates its directional orientation along the positive \(y\)-axis. This image could be used to demonstrate transformations, specifically reflections over vertical lines in coordinate geometry.
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