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Which transformation turns the pre-image ABCD into the image A'B'C'D'? Оху) — (у, х) O X, y) → (y, -x) Оху) — (-х, -у) ОЖУ) — (-у, х)

Which transformation turns the pre-image ABCD into the image A'B'C'D'? Оху) — (у, х) O X, y) → (y, -x) Оху) — (-х, -у) ОЖУ) — (-у, х)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 1E
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Which transformation turns the pre-image ABCD into the image A'B'C'D'? O X, y) → (y, x) ОЖУ) — (у, х) ОЖУ) — (-х, -у) (х, у) — (-у, х) o search O HI
Transcribed Image Text:Which transformation turns the pre-image ABCD into the image A'B'C'D'? O X, y) → (y, x) ОЖУ) — (у, х) ОЖУ) — (-х, -у) (х, у) — (-у, х) o search O HI
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Which transformation turns the preimage ABCD into the image A'B'C'D?

**Graph Analysis on Transformation and Symmetry** The image presents a mathematical graph and a set of instructions likely related to geometric transformations or symmetry. ### Graph Description: On the left side of the image, a Cartesian Coordinate System is displayed with a distinctive geometric figure drawn across the quadrants. - **Geometric Figure**: The shape resembles a series of connected line segments forming a letter-like structure (possibly an angular 'S') with the vertices marked by blue dots. - **Vertices**: The vertices of the shape are located at the following coordinates: - First set: (-1, 0), (-1, 1), (0, 1) - Second set: (0, 0), (-1, -1), (0, -1), (0, -2) ### Transformation Instructions: On the right side of the image, there are symbols and arrows that suggest instruction for geometric transformations: - Each column represents a set of transformations applied to the figure. - Arrows point in specific directions, potentially indicating rotations or reflections. - The first arrow points downward with an "X" symbol. - The second arrow points to the right with an "X" symbol. - The third arrow points upward with an "X" symbol. - The fourth arrow points to the left with an "X" symbol. These might indicate certain fixed points or axes of transformation (rotation/reflection). Below each arrow, there is a symbol of a circle. ### Explanation: 1. **Rotation/Reflection**: The arrows and symbols are possibly referring to rotational movements (clockwise or counterclockwise) or reflections across specific axes. 2. **Symmetry**: The shape might be tested for symmetry with respect to the x-axis, y-axis, or origin as shown by each column's specification. This setup can be used for exercises in geometric transformations such as rotating a shape 90 degrees clockwise or counterclockwise, reflecting it across the x or y-axis, or investigating symmetry properties. Students can use these clues to transform the given figure and check for invariance or change in orientation/position. It is likely that the goal is to understand the impact of these transformations on the initial geometric shape and to identify patterns or invariant properties through visualization.
Transcribed Image Text:**Graph Analysis on Transformation and Symmetry** The image presents a mathematical graph and a set of instructions likely related to geometric transformations or symmetry. ### Graph Description: On the left side of the image, a Cartesian Coordinate System is displayed with a distinctive geometric figure drawn across the quadrants. - **Geometric Figure**: The shape resembles a series of connected line segments forming a letter-like structure (possibly an angular 'S') with the vertices marked by blue dots. - **Vertices**: The vertices of the shape are located at the following coordinates: - First set: (-1, 0), (-1, 1), (0, 1) - Second set: (0, 0), (-1, -1), (0, -1), (0, -2) ### Transformation Instructions: On the right side of the image, there are symbols and arrows that suggest instruction for geometric transformations: - Each column represents a set of transformations applied to the figure. - Arrows point in specific directions, potentially indicating rotations or reflections. - The first arrow points downward with an "X" symbol. - The second arrow points to the right with an "X" symbol. - The third arrow points upward with an "X" symbol. - The fourth arrow points to the left with an "X" symbol. These might indicate certain fixed points or axes of transformation (rotation/reflection). Below each arrow, there is a symbol of a circle. ### Explanation: 1. **Rotation/Reflection**: The arrows and symbols are possibly referring to rotational movements (clockwise or counterclockwise) or reflections across specific axes. 2. **Symmetry**: The shape might be tested for symmetry with respect to the x-axis, y-axis, or origin as shown by each column's specification. This setup can be used for exercises in geometric transformations such as rotating a shape 90 degrees clockwise or counterclockwise, reflecting it across the x or y-axis, or investigating symmetry properties. Students can use these clues to transform the given figure and check for invariance or change in orientation/position. It is likely that the goal is to understand the impact of these transformations on the initial geometric shape and to identify patterns or invariant properties through visualization.
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