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Select al of the folowing transformations hat would map ACDE ATSR O reetnehe ra O neh O steiton of (a, s(e, a O en ountercde abot the pot (., O autudion erth 4 andatandation of (a, +2 )

Select al of the folowing transformations hat would map ACDE ATSR O reetnehe ra O neh O steiton of (a, s(e, a O en ountercde abot the pot (., O autudion erth 4 andatandation of (a, +2 )

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:** Select all of the following transformations that would map \( \triangle CDE \) to \( \triangle TSR \). - □ A reflection over the x-axis - □ A reflection over the line \( x = 0.5 \) - □ A translation of \((x, y) \to (x + 5, y)\) - □ A rotation of \(90^\circ\) counterclockwise about the point \((5, 5)\) - □ A reflection over the line \( x = -4 \) and a translation of \((x, y) \to (x + 2, y)\)
Transcribed Image Text:**Question:** Select all of the following transformations that would map \( \triangle CDE \) to \( \triangle TSR \). - □ A reflection over the x-axis - □ A reflection over the line \( x = 0.5 \) - □ A translation of \((x, y) \to (x + 5, y)\) - □ A rotation of \(90^\circ\) counterclockwise about the point \((5, 5)\) - □ A reflection over the line \( x = -4 \) and a translation of \((x, y) \to (x + 2, y)\)
The image represents the framework for the roof of a house. It displays a geometric structure on a coordinate grid, with axes labeled \(x\) and \(y\). ### Description: - **Axes and Grid:** The coordinate grid has labels along the \(x\)-axis from \(-1\) to \(11\) and along the \(y\)-axis from \(-3\) to \(3\). - **Framework Structure:** - The roof comprises two main right triangles, marked in blue and red, meeting at a central peak above the \(x\)-axis. - The blue triangle is on the left, spanning from \(x = 0\) to \(x = 4\), peaking at point \(D\). - The red triangle is on the right, spanning from \(x = 7\) to \(x = 10\), peaking at point \(S\). - **Key Points:** - **C** is at (0, 0). - **E** is at (4, 0), forming the base of the blue triangle. - **D** is at the midpoint of the blue triangle's slope. - **R** is at (7, 0), forming the base end of the red triangle. - **T** is at (10, 0). - **Additional Details:** - The triangles have shaded areas with distinct colors: purple for the left and red for the right, emphasizing structural supports. - The \(y\)-axis has small numerical labels, indicating measurements up to \(\sim3\). This diagram could be used to discuss architectural design, geometry in engineering, or trigonometric properties in an educational setting.
Transcribed Image Text:The image represents the framework for the roof of a house. It displays a geometric structure on a coordinate grid, with axes labeled \(x\) and \(y\). ### Description: - **Axes and Grid:** The coordinate grid has labels along the \(x\)-axis from \(-1\) to \(11\) and along the \(y\)-axis from \(-3\) to \(3\). - **Framework Structure:** - The roof comprises two main right triangles, marked in blue and red, meeting at a central peak above the \(x\)-axis. - The blue triangle is on the left, spanning from \(x = 0\) to \(x = 4\), peaking at point \(D\). - The red triangle is on the right, spanning from \(x = 7\) to \(x = 10\), peaking at point \(S\). - **Key Points:** - **C** is at (0, 0). - **E** is at (4, 0), forming the base of the blue triangle. - **D** is at the midpoint of the blue triangle's slope. - **R** is at (7, 0), forming the base end of the red triangle. - **T** is at (10, 0). - **Additional Details:** - The triangles have shaded areas with distinct colors: purple for the left and red for the right, emphasizing structural supports. - The \(y\)-axis has small numerical labels, indicating measurements up to \(\sim3\). This diagram could be used to discuss architectural design, geometry in engineering, or trigonometric properties in an educational setting.
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