### Translation of Geometric Figures - Educational Exercise**Topic: Geometric Translation**#### Multiple Choice Question**Question 1:** What would the coordinates of triangle DEF be after a translation of 3 units right and 2 units down?Below the question is a graph displaying triangle DEF on a coordinate plane. You can see the vertices of triangle DEF labeled at points D, E, and F.- **D** is located at (-6, -1)- **E** is located at (-2, 5)- **F** is located at (0, -1)The graph has a grid with clear axes labeled \(x\) and \(y\), with tick marks indicating the values on each axis.**Answer choices:**1. D' (-5, -1), E' (-2, 5), F' (1, 1) 2. D' (5, 1), E' (2.5), F' (-1, -1) 3. D' (-2, -1), E' (1, 3), F' (4, -3) 4. D' (-3, -2), E' (0, 3), F' (-3, 4)To solve this question, apply the translation to each point \( (x, y) \) by adding 3 to the x-coordinate and subtracting 2 from the y-coordinate:- For point D (-6, -1): \[ D' = (-6 + 3, -1 - 2) = (-3, -3) \]- For point E (-2, 5): \[ E' = (-2 + 3, 5 - 2) = (1, 3) \]- For point F (0, -1): \[ F' = (0 + 3, -1 - 2) = (3, -3) \]**Note:** The explanation has been altered to guide through the process, ensuring students understand how to apply the translation properly.Choose the correct coordinates from the options provided:- **Correct Answer:** None of the provided answer choices match the correct translated coordinates. #### Diagram ExplanationThis graph illustrates the movement of triangle DEF through a specific geometric translation. The original positions of points D, E, and F are shown so **Translations / Reflections / Py**---**Multiple Choice****Question 1: What would the coordinates of triangle DEF be after a translation of 3 units right and 2 units down?**_GRAPH_The graph shows triangle DEF plotted on a Cartesian coordinate plane. The coordinates of the vertices are:- D: (-5,1)- E: (-2,5)- F: (1,1)The question involves translating the triangle 3 units to the right and 2 units down.**Answer Choices**- ( ) D'(-5,-1), E'(-2,-5), F'(1,1)- ( ) D'(5,1), E'(2,5), F'(1,-1)- ( ) D'(-2,-1), E'(1,3), F'(-4,-3)- ( ) D'(-3,-2), E'(0,3), F'(-3,4)---For further details on how to perform translations on a graph, please refer to the section on Translations under the Geometry unit.

Answered: Image /qna-images/answer/515fea58-c029-4d4e-8faa-464e5cbf199f.jpg

Answered: Choice Question 1: What would the…

Choice Question 1: What would the coordinates of triangle DEF be after a translation of 3 units right and 2 units down?* ty. 6 4 D -6 -4-2 4 6. 4 2. 2)

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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