Difference between revisions of "SSS similarity"
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| − | + | ==Theorem== | |
<math>\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.}</math> | <math>\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.}</math> | ||
<asy> | <asy> | ||
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dot("$F$",F,N); | dot("$F$",F,N); | ||
</asy> | </asy> | ||
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| + | {{stub}} | ||
| + | [[Category:Similarity]] | ||
| + | [[Category:Definition]] | ||
| + | [[Category:Triangles]] | ||
| + | |||
| + | ==See Also== | ||
| + | |||
| + | * [[AAA Similarity]] | ||
| + | * [[SAS Similarity]] | ||
| + | * [[AAS Similarity]] | ||
| + | * [[HL Similarity]] | ||
| + | * [[SAS Congruency]] | ||
| + | * [[AAS Congruency]] | ||
| + | * [[HL Congruency]] | ||
![[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]](http://latex.artofproblemsolving.com/8/2/7/827884924fc2c7e934b733847458b27667f41b6c.png)
