SAS and SSS are congruent. SSA need not be.
If triangles have the corresponding sides congruent then they are congruent. SSS If two triangles have two sides and an included angle congruent then they are congruent. SAS If two triangles have two angles and an included side congruent then they are congruent. ASA SSA doesn't work.
Congruent-SSS
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SAS postulate or SSS postulate.
I only know 3. SSS (side/side/side) -> if all three sides are the same length SAS (side/angle/side) -> if two sides and the angle between them are the same ASA (angle/side/angle) -> if two angles and the side between them are the same
If triangles have the corresponding sides congruent then they are congruent. SSS If two triangles have two sides and an included angle congruent then they are congruent. SAS If two triangles have two angles and an included side congruent then they are congruent. ASA SSA doesn't work.
the congruence theorems or postulates are: SAS AAS SSS ASA
trueTrue -- SSA does NOT guarantee congruence.Only SAS, SSS, and ASA can do that (and AAS, because if two pairs of corresponding angles are congruent, the third has to be).
if you can prove using sss,asa,sas,aas
Congruent-SSS
All three of those CAN .
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SAS postulate or SSS postulate.
No, the side-side-angle in congruence shortcut DOESN'T exist..hint-SSA turns backward--->ASS<---thats the problem of no word will come on math..kinda funny to laugh about but SSA=GET rid off it! use SSS, SAS, ASA, SAA, SSS, and AAA.
The SSS, ASA and SAA postulates together signify what conditions must be present for two triangles to be congruent. Do all of the conditions this postulates represent together have to be present for two triangles to be congruent ? Explain.
if you have two triangles you can prove them congruent by stating that all of the sides are congruent, hence (SSS=Side, Side, Side). You can also do the same by stating SAS (Side, Angle, Side) or ASA (Angle, Side, Angle). Using these methods, everything must be in order and consecutive to prove the triangles congruent good question
SSA (Side-Side-Angle) cannot be a proof of triangle congruence because it does not guarantee that the two triangles formed are congruent. The angle can be positioned in such a way that two different triangles can have the same two sides and the same angle, leading to the ambiguous case known as the "SSA ambiguity." This means two distinct triangles could satisfy the SSA condition, thus failing to prove congruence. Therefore, other criteria like SSS, SAS, or ASA must be used for triangle congruence.