SAS Similarity: Difference between revisions
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==Definition== | ==Definition== | ||
SAS stands for Side-Angle-Side, for two [[triangle]]s to be [[similar|similar triangles]] by SAS similarity, they must have a pair of congruent angle and the two sides next to the angle must be proportional. | SAS stands for Side-Angle-Side, for two [[triangle]]s to be [[similar|similar triangles]] by SAS similarity, they must have a pair of congruent angle and the two sides next to the angle must be proportional. | ||
==Diagram== | |||
<asy> | |||
dot((0,0)); | |||
label("A",(0,0),SW); | |||
dot((5,0)); | |||
label("B",(5,0),SE); | |||
dot((3,4)); | |||
label("C",(3,4),N); | |||
draw((0,0)--(5,0)--(3,4)--cycle); | |||
markscalefactor = 0.1; | |||
draw(anglemark((5,0),(0,0),(3,4))); | |||
</asy> | |||
<asy> | |||
size((8cm)); | |||
dot((0,0)); | |||
label("D",(0,0),SW); | |||
dot((5,0)); | |||
label("E",(5,0),SE); | |||
dot((3,4)); | |||
label("F",(3,4),N); | |||
draw((0,0)--(5,0)--(3,4)--cycle); | |||
markscalefactor = 0.0675; | |||
draw(anglemark((5,0),(0,0),(3,4))); | |||
</asy> | |||
==Categories== | ==Categories== | ||
{{Category: Stubs}} | {{Category: Stubs}} | ||
{{Category: Geometry}} | {{Category: Geometry}} | ||
Revision as of 20:41, 24 January 2020
Definition
SAS stands for Side-Angle-Side, for two triangles to be similar triangles by SAS similarity, they must have a pair of congruent angle and the two sides next to the angle must be proportional.
Diagram
![[asy] dot((0,0)); label("A",(0,0),SW); dot((5,0)); label("B",(5,0),SE); dot((3,4)); label("C",(3,4),N); draw((0,0)--(5,0)--(3,4)--cycle); markscalefactor = 0.1; draw(anglemark((5,0),(0,0),(3,4))); [/asy]](http://latex.artofproblemsolving.com/1/7/8/17873a662288147a81102d3f98300c4e3d7f4817.png)
![[asy] size((8cm)); dot((0,0)); label("D",(0,0),SW); dot((5,0)); label("E",(5,0),SE); dot((3,4)); label("F",(3,4),N); draw((0,0)--(5,0)--(3,4)--cycle); markscalefactor = 0.0675; draw(anglemark((5,0),(0,0),(3,4))); [/asy]](http://latex.artofproblemsolving.com/9/8/4/984781cf0bae47382fd022cb1da382c723e8fbdf.png)
Categories
This page lists articles which are considered to be stubs. Please help us out by expanding them. If an article considered a stub is not a stub, then simply unclassify it. This category includes articles related to geometry and its branches.
