### Classify the Transformation by its Properties#### Chart: Properties of TransformationsThis 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 TransformationsBelow 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. TransformationsA 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 | | | | |

Transformation is a process of moving, resizing, rotating, or reflecting an image. The angles and…

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Classify the transformation by its properties.

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 | | | | |

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