After a dilation centered at the origin, the image of AB¯¯¯¯¯¯¯¯ is A′B′¯¯¯¯¯¯¯¯¯¯. If the coordinates of the endpoints of these segments are A(6, −4), B(2, −8), A′(9, −6), and B′(3, −12), what is the scale factor of the dilation?

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
icon
Related questions
Question

After a dilation centered at the origin, the image of AB¯¯¯¯¯¯¯¯ is A′B′¯¯¯¯¯¯¯¯¯¯. If the coordinates of the endpoints of these segments are A(6, −4), B(2, −8), A′(9, −6), and B′(3, −12), what is the scale factor of the dilation?

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Dilations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.
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