**Topic 3: Assessment Form C**The rule \( R_{x\text{-axis}} \cdot T_{(-5, 3)} \) is applied to the point \((-3, -2)\). Where is the image in the coordinate system?- A. Quadrant I- B. Quadrant II- C. Quadrant III- D. Quadrant IVThis multiple-choice question requires the application of transformations in a coordinate plane. The rule indicates a reflection over the x-axis followed by a translation by the vector \((-5, 3)\). Students must determine the resulting quadrant of the transformed point.

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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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Given the following points on the graph, A (0,2), B (-5,3), and C (-3,6). If we want to create a figure ABCD into a parallelogram, then what should the coordinate pair be for D? -7 C 6 5 B A (-2,-1) B. (1,4) C. (2,5) D. (3,3) -2 -1 -4 3 → 0

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The rule R x-axis T-5, 3) is applied to the point (-3, -2). Where is the image in the coordinate system? A. Quadrant I B. Quadrant II C. Quadrant II D. Quadrant IV