Homework Help is Here – Start Your Trial Now!
Math
Geometry
What dilation maps triangle ABC onto triangle A'B'C' below? C *B ARIAS) B. (x, y) → (0.5, 0.5) C 3 X-3) D. (x, y) - (-0.5, -0.5p)

What dilation maps triangle ABC onto triangle A'B'C' below? C *B ARIAS) B. (x, y) → (0.5, 0.5) C 3 X-3) D. (x, y) - (-0.5, -0.5p)

Elementary Geometry For College Students, 7e
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
See similar textbooks
icon
Related questions
Question
Help #3
### Reflecting a Triangle on the Coordinate Plane In this exercise, we are given a triangle on a coordinate plane and are asked to determine how it can be reflected over a line. **Problem Statement:** What dilation maps triangle ABC onto triangle A'B'C' below? **Options:** A. \((x, y) \rightarrow (kx, ky)\) B. \((x, y) \rightarrow (0.5x, 0.5y)\) **Explanation of the Diagram:** The diagram shows two triangles on a coordinate grid. The original triangle ABC and its image A'B'C' after a dilation. Each vertex of triangle ABC is labeled with a corresponding point in triangle A'B'C'. Both triangles are graphed on the coordinate plane, with axes and grid lines to help visualize their positions and transformations. By examining the diagram: - The transformation seems to be a dilation, where the original triangle ABC is scaled down to form triangle A'B'C'. **Analysis:** To determine the correct transformation, observe the coordinates of corresponding vertices in triangles ABC and A'B'C'. For a dilation transformation, every point \((x, y)\) on triangle ABC will be transformed to \((kx, ky)\) on triangle A'B'C'. In this case, option B is highlighted (with a check mark), suggesting that the coordinates of triangle ABC have been multiplied by 0.5. **Conclusion:** The correct transformation that maps triangle ABC onto triangle A'B'C' is: B. \((x, y) \rightarrow (0.5x, 0.5y)\) This transformation correctly scales the coordinates of triangle ABC by a factor of 0.5 to produce triangle A'B'C'.
Transcribed Image Text:### Reflecting a Triangle on the Coordinate Plane In this exercise, we are given a triangle on a coordinate plane and are asked to determine how it can be reflected over a line. **Problem Statement:** What dilation maps triangle ABC onto triangle A'B'C' below? **Options:** A. \((x, y) \rightarrow (kx, ky)\) B. \((x, y) \rightarrow (0.5x, 0.5y)\) **Explanation of the Diagram:** The diagram shows two triangles on a coordinate grid. The original triangle ABC and its image A'B'C' after a dilation. Each vertex of triangle ABC is labeled with a corresponding point in triangle A'B'C'. Both triangles are graphed on the coordinate plane, with axes and grid lines to help visualize their positions and transformations. By examining the diagram: - The transformation seems to be a dilation, where the original triangle ABC is scaled down to form triangle A'B'C'. **Analysis:** To determine the correct transformation, observe the coordinates of corresponding vertices in triangles ABC and A'B'C'. For a dilation transformation, every point \((x, y)\) on triangle ABC will be transformed to \((kx, ky)\) on triangle A'B'C'. In this case, option B is highlighted (with a check mark), suggesting that the coordinates of triangle ABC have been multiplied by 0.5. **Conclusion:** The correct transformation that maps triangle ABC onto triangle A'B'C' is: B. \((x, y) \rightarrow (0.5x, 0.5y)\) This transformation correctly scales the coordinates of triangle ABC by a factor of 0.5 to produce triangle A'B'C'.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS