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The bue fige is a diation image of the back figure The labeled point is the center of dilation Tell whether the dilation is an enlargementor areduction Then find the scale factor of the diation Is the diaton an eniargement oa redction? O Reduction O Enlargement

The bue fige is a diation image of the back figure The labeled point is the center of dilation Tell whether the dilation is an enlargementor areduction Then find the scale factor of the diation Is the diaton an eniargement oa redction? O Reduction O Enlargement

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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Title: Understanding Dilation in Geometry ### Dilation Exercise - Example 9.6.12 #### Problem Statement: The blue figure is a dilation image of the black figure. The labeled point is the center of dilation. Determine whether the dilation is an enlargement or a reduction. Then find the scale factor of the dilation. #### Question: Is the dilation an enlargement or a reduction? - Reduction - Enlargement ### Instructions: Click to select your answer and then click "Check Answer". #### Diagram Explanation: The provided diagram consists of a grid with two triangular shapes: - The black figure (original shape). - The blue figure (dilated shape). The labeled point serves as the center of dilation. Observe the size relationship between the blue and black triangles to determine whether the blue triangle is an enlargement or reduction of the black triangle. ### How to Determine the Dilation Type: 1. **Enlargement**: When the blue figure is larger than the black figure. 2. **Reduction**: When the blue figure is smaller than the black figure. ### Determining the Scale Factor: The scale factor can be calculated by comparing the side lengths of the blue triangle to the corresponding side lengths of the black triangle. Ensure you understand the concept of dilation in geometry, where the size of a figure changes but the shape remains similar. This forms the foundation for solving this problem. Once you have selected your answer (either "Reduction" or "Enlargement"), click the "Check Answer" button to validate your response. Good luck with your learning journey! **Note:** Always ensure the proper understanding of geometric transformations like dilation for solving similar problems effectively. Instructor's Tip: Pay close attention to the position of the center of dilation and how it influences the resulting image. --- By understanding the nature of dilation and practicing with interactive tools, you'll enhance your competency in geometry.
Transcribed Image Text:Title: Understanding Dilation in Geometry ### Dilation Exercise - Example 9.6.12 #### Problem Statement: The blue figure is a dilation image of the black figure. The labeled point is the center of dilation. Determine whether the dilation is an enlargement or a reduction. Then find the scale factor of the dilation. #### Question: Is the dilation an enlargement or a reduction? - Reduction - Enlargement ### Instructions: Click to select your answer and then click "Check Answer". #### Diagram Explanation: The provided diagram consists of a grid with two triangular shapes: - The black figure (original shape). - The blue figure (dilated shape). The labeled point serves as the center of dilation. Observe the size relationship between the blue and black triangles to determine whether the blue triangle is an enlargement or reduction of the black triangle. ### How to Determine the Dilation Type: 1. **Enlargement**: When the blue figure is larger than the black figure. 2. **Reduction**: When the blue figure is smaller than the black figure. ### Determining the Scale Factor: The scale factor can be calculated by comparing the side lengths of the blue triangle to the corresponding side lengths of the black triangle. Ensure you understand the concept of dilation in geometry, where the size of a figure changes but the shape remains similar. This forms the foundation for solving this problem. Once you have selected your answer (either "Reduction" or "Enlargement"), click the "Check Answer" button to validate your response. Good luck with your learning journey! **Note:** Always ensure the proper understanding of geometric transformations like dilation for solving similar problems effectively. Instructor's Tip: Pay close attention to the position of the center of dilation and how it influences the resulting image. --- By understanding the nature of dilation and practicing with interactive tools, you'll enhance your competency in geometry.
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