The translation of ABCD to A'B'C'D' is given by (x+[?1.y-[ ]). A D. -7 6 -5 4 5. A ID' Enter 3)

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
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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.
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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