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 Translation in Geometry**
**Translation of Quadrilateral ABCD to A'B'C'D'**
In the given problem, we explore the translation of a quadrilateral ABCD to its new position A'B'C'D'. The transformation rule is expressed as:
\[ (x + [-2], y - [1]) \]
**Explanation of the Diagram:**
- The diagram depicts two identical quadrilaterals on a coordinate plane.
- Quadrilateral ABCD is positioned above the x-axis with the vertices labeled as A, B, C, and D.
- The translated quadrilateral A'B'C'D' is positioned below the x-axis with the vertices labeled as A', B', C', and D'.
- The translation involves shifting the original quadrilateral ABCD by 2 units to the left (x - 2) and 1 unit downwards (y - 1).
This illustration helps demonstrate how coordinates change under a translation transformation in a geometric context.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F12b7d8e5-e1f4-4366-964c-d88f3b8c0c01%2F572aa3f6-33d1-4fad-add4-2dff411c3957%2Fxphiv4i_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Title: Understanding Translation in Geometry**
**Translation of Quadrilateral ABCD to A'B'C'D'**
In the given problem, we explore the translation of a quadrilateral ABCD to its new position A'B'C'D'. The transformation rule is expressed as:
\[ (x + [-2], y - [1]) \]
**Explanation of the Diagram:**
- The diagram depicts two identical quadrilaterals on a coordinate plane.
- Quadrilateral ABCD is positioned above the x-axis with the vertices labeled as A, B, C, and D.
- The translated quadrilateral A'B'C'D' is positioned below the x-axis with the vertices labeled as A', B', C', and D'.
- The translation involves shifting the original quadrilateral ABCD by 2 units to the left (x - 2) and 1 unit downwards (y - 1).
This illustration helps demonstrate how coordinates change under a translation transformation in a geometric context.
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