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Patricia performs the following 1. Refect across the y-axis. 2. (2, 9) + (2 - 4, y - 1). Where would C" be located following a reflection across the y-axis and the given transiation? C"(3, 4) - 1, 5) O C-4) O - 3, - 6)

Patricia performs the following 1. Refect across the y-axis. 2. (2, 9) + (2 - 4, y - 1). Where would C" be located following a reflection across the y-axis and the given transiation? C"(3, 4) - 1, 5) O C-4) O - 3, - 6)

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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**Title: Transformations of Geometric Shapes** **Introduction:** Patricia is completing a sequence of transformations on the given triangle. **Graph Description:** The graph is a standard coordinate plane with the x-axis and y-axis labeled. The x-axis ranges from -10 to 10, and the y-axis ranges from -6 to 6. A triangle is plotted on the grid as follows: - **Vertices:** - Point \( A \) is located at coordinates (3, 1). - Point \( B \) is located at coordinates (7, 1). - Point \( C \) is located at coordinates (3, 5). - **Triangle:** - The triangle is right-angled, with the right angle at point \( A \). - Side \( AB \) is horizontal and lies on y = 1. - Side \( AC \) is vertical and lies on x = 3. - Side \( BC \) is the hypotenuse, joining points \( B \) and \( C \). The triangle is shaded in purple. **Conclusion:** Analyzing geometric transformations on this triangle could include translations, rotations, reflections, and dilations to explore its behavior under these operations.
Transcribed Image Text:**Title: Transformations of Geometric Shapes** **Introduction:** Patricia is completing a sequence of transformations on the given triangle. **Graph Description:** The graph is a standard coordinate plane with the x-axis and y-axis labeled. The x-axis ranges from -10 to 10, and the y-axis ranges from -6 to 6. A triangle is plotted on the grid as follows: - **Vertices:** - Point \( A \) is located at coordinates (3, 1). - Point \( B \) is located at coordinates (7, 1). - Point \( C \) is located at coordinates (3, 5). - **Triangle:** - The triangle is right-angled, with the right angle at point \( A \). - Side \( AB \) is horizontal and lies on y = 1. - Side \( AC \) is vertical and lies on x = 3. - Side \( BC \) is the hypotenuse, joining points \( B \) and \( C \). The triangle is shaded in purple. **Conclusion:** Analyzing geometric transformations on this triangle could include translations, rotations, reflections, and dilations to explore its behavior under these operations.
Patricia performs the following: 1. Reflect across the y-axis. 2. Apply the transformation \((x, y) \rightarrow (x - 4, y - 1)\). Where would \(C''\) be located following a reflection across the y-axis and the given translation? - \(C''(3, 4)\) - \(C''(-1, 5)\) - \(C''(-5, 4)\) - \(C''(-3, -6)\)
Transcribed Image Text:Patricia performs the following: 1. Reflect across the y-axis. 2. Apply the transformation \((x, y) \rightarrow (x - 4, y - 1)\). Where would \(C''\) be located following a reflection across the y-axis and the given translation? - \(C''(3, 4)\) - \(C''(-1, 5)\) - \(C''(-5, 4)\) - \(C''(-3, -6)\)
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