Let ∆ABC have vertices at A = (0,0), B = (3,4), and C = (12,5).  Let ∆HFK have vertices at H = (6,0), F = (8,1.5), and K = (12,2.5).  Is ∆ABC similar to ∆HFK ?   Which similarity theorem would you use to check whether ∆ABC and ∆HFK are similar?  Determine whether ∆ABC and ∆HFK are similar.

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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Let ∆ABC have vertices at A = (0,0), B = (3,4), and C = (12,5).  Let ∆HFK have vertices at H = (6,0), F = (8,1.5), and K = (12,2.5).  Is ∆ABC similar to ∆HFK ?  

Which similarity theorem would you use to check whether ∆ABC and ∆HFK are similar? 

Determine whether ∆ABC and ∆HFK are similar. 

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