Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus
During AMC testing, the AoPS Wiki is in read-only mode and no edits can be made.

Difference between revisions of "SSS similarity"

(→‎Theorem)
 
Line 24: Line 24:
  
 
{{stub}}
 
{{stub}}
−
[[Category:Similarity]]
 
 
[[Category:Definition]]
 
[[Category:Definition]]
 
[[Category:Triangles]]
 
[[Category:Triangles]]

Latest revision as of 17:17, 23 June 2025

Theorem

$\text{SSS Similarity states that if there are two triangles (shown below), then if }\dfrac{\overline{AB}}{\overline{DE}}=\dfrac{\overline{BC}}{\overline{EF}}=\dfrac{\overline{AC}}{\overline{DF}}\text{, then the two triangles are similar.}$ [asy] pair A,B,C,D,E,F; A = (4,0); B = (2,0); C = (3,1); D = (6,0); E = (5,0); F = (5.5,0.5); draw(A--B); draw(B--C); draw(A--C); draw(D--E); draw(E--F); draw(D--F); dot("$A$",A,NE); dot("$B$",B,NW); dot("$C$",C,N); dot("$D$",D,NE); dot("$E$",E,NW); dot("$F$",F,N); [/asy]

This article is a stub. Help us out by expanding it.

See Also

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=SSS_similarity&oldid=252017"