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Classify the transformation by its properties.

Classify the transformation by its properties.

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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### Classify the Transformation by its Properties #### Chart: Properties of Transformations This chart is a 2x2 grid detailing the properties of transformations based on whether they preserve lengths and angle measures: - **Top Row (Preserves lengths):** - **Left Column (Preserves angle measures):** - Box 1 - **Right Column (Does not preserve angle measures):** - Box 2 - **Bottom Row (Does not preserve lengths):** - **Left Column (Preserves angle measures):** - Box 3 - **Right Column (Does not preserve angle measures):** - Box 4 #### Types of Transformations Below the chart, four different types of transformations are listed with their respective symbols: - **Rotation followed by translation** - **Glide reflection** - **Dilation with \( k > 1 \)** - **Translation** #### Table: Properties vs. Transformations A table below presents checkboxes to classify each type of transformation based on whether they do or do not preserve angle measures and lengths. | | Rotation followed by Translation | Glide Reflection | Dilation by \( k > 1 \) | Translation | |----------------------------|----------------------------------|------------------|-------------------------|---------------| | doesn't preserve angle measure | | | | | | preserves length | | | | | | preserves angle measure | | | | | | doesn't preserve length | | | | |
Transcribed Image Text:### Classify the Transformation by its Properties #### Chart: Properties of Transformations This chart is a 2x2 grid detailing the properties of transformations based on whether they preserve lengths and angle measures: - **Top Row (Preserves lengths):** - **Left Column (Preserves angle measures):** - Box 1 - **Right Column (Does not preserve angle measures):** - Box 2 - **Bottom Row (Does not preserve lengths):** - **Left Column (Preserves angle measures):** - Box 3 - **Right Column (Does not preserve angle measures):** - Box 4 #### Types of Transformations Below the chart, four different types of transformations are listed with their respective symbols: - **Rotation followed by translation** - **Glide reflection** - **Dilation with \( k > 1 \)** - **Translation** #### Table: Properties vs. Transformations A table below presents checkboxes to classify each type of transformation based on whether they do or do not preserve angle measures and lengths. | | Rotation followed by Translation | Glide Reflection | Dilation by \( k > 1 \) | Translation | |----------------------------|----------------------------------|------------------|-------------------------|---------------| | doesn't preserve angle measure | | | | | | preserves length | | | | | | preserves angle measure | | | | | | doesn't preserve length | | | | |
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