1. What is the main difference between a symmetry and an isometry? 2. Draw the image of hexagon reflected over line m. Use your work in part b to explain the meaning why reflection over a line is an orientation-reversing transformation. The image contains a geometric figure consisting of a composite shape with points labeled A, B, C, D, E, and F. The shape includes a protruding section, somewhat resembling an irregular polygon.To the right of the shape, there is a vertical line marked with a double-headed arrow labeled "m." This indicates a measurement or distance that is important in the context of the figure.Here is a detailed breakdown of the labeled points and lines:- **A** is the top-left corner of the rectangle-like section.- **B** is to the right of A along the top edge, leading to the protruding section.- **C** forms the peak of the irregular protrusion.- **D** is aligned horizontally with B, forming the right side of the protruding section.- **E** is directly below D, at the bottom-right corner of the shape.- **F** is below A, completing the rectangular base of the shape.The labeled points seem to outline the perimeter of this composite shape, starting from A, moving to F, then to E, D, C, B, and returning to A. The vertical line with arrow "m" likely represents a specific dimension relevant to the shape's geometry.

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1. What is the main difference between a symmetry and an isometry?

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

1. What is the main difference between a symmetry and an isometry?

2. Draw the image of hexagon reflected over line m. Use your work in part b to explain the meaning why reflection over a line is an orientation-reversing transformation.

The image contains a geometric figure consisting of a composite shape with points labeled A, B, C, D, E, and F. The shape includes a protruding section, somewhat resembling an irregular polygon.

To the right of the shape, there is a vertical line marked with a double-headed arrow labeled "m." This indicates a measurement or distance that is important in the context of the figure.

Here is a detailed breakdown of the labeled points and lines:

- **A** is the top-left corner of the rectangle-like section.
- **B** is to the right of A along the top edge, leading to the protruding section.
- **C** forms the peak of the irregular protrusion.
- **D** is aligned horizontally with B, forming the right side of the protruding section.
- **E** is directly below D, at the bottom-right corner of the shape.
- **F** is below A, completing the rectangular base of the shape.

The labeled points seem to outline the perimeter of this composite shape, starting from A, moving to F, then to E, D, C, B, and returning to A. The vertical line with arrow "m" likely represents a specific dimension relevant to the shape's geometry.

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