What is SSA congruence rule?
Similarly, is there an SSA congruence?
Same as the Angle Side Side Postulate (ASS) If two triangles have two congruent sides and a congruent non included angle, then triangles are NOT NECESSARILLY congruent. This is why there is no Side Side Angle (SSA) and there is no Angle Side Side (ASS) postulate.
Subsequently, question is, what is SSS SAS ASA AAS? SSS (side-side-side) All three corresponding sides are congruent. SAS (side-angle-side) Two sides and the angle between them are congruent. ASA (angle-side-angle)
In this way, why does SSA congruence not work?
Four shortcuts allow students to know two triangles must be congruent: SSS, SAS, ASA, and AAS. Knowing only side-side-angle (SSA) does not work because the unknown side could be located in two different places. Because there are 6 corresponding parts 3 angles and 3 sides, you don't need to know all of them.
Why is SSA an ambiguous case?
The “Ambiguous Case” (SSA) occurs when we are given two sides and the angle opposite one of these given sides. The triangles resulting from this condition needs to be explored much more closely than the SSS, ASA, and AAS cases, for SSA may result in one triangle, two triangles, or even no triangle at all!