# What is SSA congruence rule?

**SSA**. The acronym

**SSA**(side-side-angle) refers to the criterion of

**congruence**of two triangles: if two sides and an angle not include between them are respectively equal to two sides and an angle of the other then the two triangles are equal.

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!