SSS similarity

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$",F,N); [/asy]$

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SSS similarity

Theorem

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