Part C Mrs. Smith then asks a third student, Nikki, to describe a series of transformations that could be used to go from Triangle 3 to Triangle 1. What is a possible series of transformations that Nikki could describe?

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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Triangle 1 A(-2,4) B(-5,3) C(-4,-2) Triangle 2 A'(0,7) B'(-3,6) C' (-2,1) Triangle 3 A''(0,-1) B"(-3,0) C"(-2,5) Triangle 4 A"'(3,0) B"'(2,-3) C"'(-3,-2) Triangle 5 A"'(0,1) B"'(-6,0) C"'(-4,-5) Triangle 6 A"'(1,-2) B"'(0,1) C"'(-5,0) Triangle 7 A"'(-1,3) B"'(0,0) C"'(5,1) Triangle 8 A"'(0,-3.33) B"'(-1,-3) C"' (-0.67,-1.33)
The image shows a coordinate grid with three triangles labeled as Triangle 1, Triangle 2, and Triangle 3. Part C of the text reads:

"Mrs. Smith then asks a third student, Nikki, to describe a series of transformations that could be used to go from Triangle 3 to Triangle 1. What is a possible series of transformations that Nikki could describe?"

This suggests that Nikki needs to provide a sequence of geometric transformations—such as translations, rotations, reflections, or dilations—to map Triangle 3 onto Triangle 1.

The grid itself is a standard coordinate grid with equally spaced lines, and the triangles occupy specific regions, each with vertices aligned to these grid lines.
Transcribed Image Text:The image shows a coordinate grid with three triangles labeled as Triangle 1, Triangle 2, and Triangle 3. Part C of the text reads: "Mrs. Smith then asks a third student, Nikki, to describe a series of transformations that could be used to go from Triangle 3 to Triangle 1. What is a possible series of transformations that Nikki could describe?" This suggests that Nikki needs to provide a sequence of geometric transformations—such as translations, rotations, reflections, or dilations—to map Triangle 3 onto Triangle 1. The grid itself is a standard coordinate grid with equally spaced lines, and the triangles occupy specific regions, each with vertices aligned to these grid lines.
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