Homework Help is Here – Start Your Trial Now!
Math
Geometry
What are the new coordinates of the point (6, 15) under the dilation (x,y) → (3-3)?

What are the new coordinates of the point (6, 15) under the dilation (x,y) → (3-3)?

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

What are the new coordinates of the point (6,15) under the dilation (x,y) -> (x/3),(y/3)?

### Question: Coordinate Transformation Through Dilation **Problem Statement:** What are the new coordinates of the point (6, 15) under the dilation \((x, y) \rightarrow \left( \frac{x}{3}, \frac{y}{3} \right)\)? **Options:** - (5, 2) - (18, 45) - (2, 5) - (2, 10) **Explanation:** To solve this problem, we need to apply the given dilation formula \(\left( \frac{x}{3}, \frac{y}{3} \right)\) to the point (6, 15). 1. **Determine the x-coordinate:** - Original x-coordinate: 6 - New x-coordinate: \(\frac{6}{3} = 2\) 2. **Determine the y-coordinate:** - Original y-coordinate: 15 - New y-coordinate: \(\frac{15}{3} = 5\) **Solution:** After applying the dilation, the new coordinates of the point (6, 15) are (2, 5). **Correct Answer:** - (2, 5) This form of dilation scales down the coordinates of a point by a factor of 3, both for x and y values.
Transcribed Image Text:### Question: Coordinate Transformation Through Dilation **Problem Statement:** What are the new coordinates of the point (6, 15) under the dilation \((x, y) \rightarrow \left( \frac{x}{3}, \frac{y}{3} \right)\)? **Options:** - (5, 2) - (18, 45) - (2, 5) - (2, 10) **Explanation:** To solve this problem, we need to apply the given dilation formula \(\left( \frac{x}{3}, \frac{y}{3} \right)\) to the point (6, 15). 1. **Determine the x-coordinate:** - Original x-coordinate: 6 - New x-coordinate: \(\frac{6}{3} = 2\) 2. **Determine the y-coordinate:** - Original y-coordinate: 15 - New y-coordinate: \(\frac{15}{3} = 5\) **Solution:** After applying the dilation, the new coordinates of the point (6, 15) are (2, 5). **Correct Answer:** - (2, 5) This form of dilation scales down the coordinates of a point by a factor of 3, both for x and y values.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer