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sketch the mirror line that would reflect x onto x¹ also give the equation of the line x: (2,3) x¹: (3,-5)

sketch the mirror line that would reflect x onto x¹ also give the equation of the line x: (2,3) x¹: (3,-5)

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
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Question

sketch the mirror line that would reflect x onto x¹ also give the equation of the line

x: (2,3)
x¹: (3,-5)

Expert Solution
Step 1

If x¹: (3,-5) is the mirror image of x: (2,3), then the midpoint of the line joining these two points will lie on the mirror line.

So, the midpoint of the line joining these two points is:

(x,y)=3+22,-5+32=52,-1

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