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D -10 -9- -4 -10 6. Use the applet to transtate quadritateral ABCD 2 units left to creatdquadrtateral ABCD. then reflect ABCD over the ine y5 to create A'BCD What are the coordinates of D

D -10 -9- -4 -10 6. Use the applet to transtate quadritateral ABCD 2 units left to creatdquadrtateral ABCD. then reflect ABCD over the ine y5 to create A'BCD What are the coordinates of D

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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### Transformations of Quadrilateral ABCD #### Description This exercise involves geometric transformations of a quadrilateral on a coordinate plane. #### Initial Quadrilateral ABCD - The graph features a quadrilateral labeled ABCD. - Points A, B, C, and D are plotted and connected to form a diamond shape. #### Steps to Perform the Transformations 1. **Translation**: The quadrilateral ABCD should be translated 2 units to the left to create a new quadrilateral A'B'C'D'. 2. **Reflection**: Reflect the new quadrilateral A'B'C'D' over the line y = 5 to create A''B''C''D''. #### Task Determine the coordinates of point D'' after performing the described transformations. #### Coordinate Plane Layout - The coordinate plane is a standard grid with the x-axis and y-axis labeled. - The vertical axis ranges approximately from -2 to 10. - The horizontal axis ranges approximately from -12 to 9. #### Instructions for Using the Applet 1. Use the translation tool to move each vertex of quadrilateral ABCD 2 units to the left. 2. Use the reflection tool to reflect quadrilateral A'B'C'D' over the line y = 5, resulting in quadrilateral A''B''C''D''. 3. Record the final coordinates of point D''. #### Question "What are the coordinates of D''?" By following these steps, students will practice and better understand geometric translations and reflections on a coordinate plane.
Transcribed Image Text:### Transformations of Quadrilateral ABCD #### Description This exercise involves geometric transformations of a quadrilateral on a coordinate plane. #### Initial Quadrilateral ABCD - The graph features a quadrilateral labeled ABCD. - Points A, B, C, and D are plotted and connected to form a diamond shape. #### Steps to Perform the Transformations 1. **Translation**: The quadrilateral ABCD should be translated 2 units to the left to create a new quadrilateral A'B'C'D'. 2. **Reflection**: Reflect the new quadrilateral A'B'C'D' over the line y = 5 to create A''B''C''D''. #### Task Determine the coordinates of point D'' after performing the described transformations. #### Coordinate Plane Layout - The coordinate plane is a standard grid with the x-axis and y-axis labeled. - The vertical axis ranges approximately from -2 to 10. - The horizontal axis ranges approximately from -12 to 9. #### Instructions for Using the Applet 1. Use the translation tool to move each vertex of quadrilateral ABCD 2 units to the left. 2. Use the reflection tool to reflect quadrilateral A'B'C'D' over the line y = 5, resulting in quadrilateral A''B''C''D''. 3. Record the final coordinates of point D''. #### Question "What are the coordinates of D''?" By following these steps, students will practice and better understand geometric translations and reflections on a coordinate plane.
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