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Rectangle ABCD, rectangle A'B'CD', and rectangle A"B"C D", shown below, are congruent. Rectangle ABCD was transformed to create rectangle A'B'CD.Rectangle A'B'C'D wras then transformed to create rectangle A"B"C" D D Which statement correctly describes the transformation of rectangle ABCD to rectangle A"B"C"D" ? A Translate 2 units up and translate 6 units left. Translate 2 units up and reflect over the y-axis. C Reflect over the x -axis and translate 6 units left D. Reflect over the x -xis and reflect ioverthe v-axs.

Rectangle ABCD, rectangle A'B'CD', and rectangle A"B"C D", shown below, are congruent. Rectangle ABCD was transformed to create rectangle A'B'CD.Rectangle A'B'C'D wras then transformed to create rectangle A"B"C" D D Which statement correctly describes the transformation of rectangle ABCD to rectangle A"B"C"D" ? A Translate 2 units up and translate 6 units left. Translate 2 units up and reflect over the y-axis. C Reflect over the x -axis and translate 6 units left D. Reflect over the x -xis and reflect ioverthe v-axs.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Title: Understanding Geometric Transformations** Rectangle \(ABCD\), rectangle \(A'B'C'D'\), and rectangle \(A''B''C''D''\), shown below, are congruent. Rectangle \(ABCD\) was transformed to create rectangle \(A'B'C'D'\). Rectangle \(A'B'C'D'\) was then transformed to create rectangle \(A''B''C''D''\). **Diagram Explanation:** - The diagram consists of a coordinate plane with three rectangles plotted on it. - Rectangle \(ABCD\) is the original shape located at lower coordinates. - Rectangle \(A'B'C'D'\) appears to be translated and is positioned above \(ABCD\). - Rectangle \(A''B''C''D''\) has a position that seems to involve both translation and reflection. **Transformation Question:** Which statement correctly describes the transformation of rectangle \(ABCD\) to rectangle \(A''B''C''D''\)? **Options:** A. Translate 2 units up and translate 6 units left. B. Translate 2 units up and reflect over the \(\textit{y-axis}\). C. Reflect over the \(\textit{x-axis}\) and translate 6 units left. D. Reflect over the \(\textit{x-axis}\) and reflect over the \(\textit{y-axis}\). **Analysis:** To solve the problem, analyze how the transformations affect the position and orientation of the rectangles on the coordinate plane.
Transcribed Image Text:**Title: Understanding Geometric Transformations** Rectangle \(ABCD\), rectangle \(A'B'C'D'\), and rectangle \(A''B''C''D''\), shown below, are congruent. Rectangle \(ABCD\) was transformed to create rectangle \(A'B'C'D'\). Rectangle \(A'B'C'D'\) was then transformed to create rectangle \(A''B''C''D''\). **Diagram Explanation:** - The diagram consists of a coordinate plane with three rectangles plotted on it. - Rectangle \(ABCD\) is the original shape located at lower coordinates. - Rectangle \(A'B'C'D'\) appears to be translated and is positioned above \(ABCD\). - Rectangle \(A''B''C''D''\) has a position that seems to involve both translation and reflection. **Transformation Question:** Which statement correctly describes the transformation of rectangle \(ABCD\) to rectangle \(A''B''C''D''\)? **Options:** A. Translate 2 units up and translate 6 units left. B. Translate 2 units up and reflect over the \(\textit{y-axis}\). C. Reflect over the \(\textit{x-axis}\) and translate 6 units left. D. Reflect over the \(\textit{x-axis}\) and reflect over the \(\textit{y-axis}\). **Analysis:** To solve the problem, analyze how the transformations affect the position and orientation of the rectangles on the coordinate plane.
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