# Is there an angle angle angle congruence criterion?

**angle**-

**angle**-

**angle**(

**AAA**) does not work because it can produce similar but not

**congruent**triangles. We said if you know that 3 sides of one triangle are

**congruent**to 3 sides of another triangle, they have to be

**congruent**. The same is true for side

**angle**side,

**angle**side

**angle**and

**angle angle**side.

In this regard, is there an angle angle angle postulate?

The **Angle Angle** Side **postulate** (often abbreviated as AAS) states that if two **angles** and the non-included side one triangle are congruent to two **angles** and the non-included side of another triangle, then these two triangles are congruent.

**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)

Besides, what does angle angle angle mean?

**Is** AAA (**Angle**-**Angle**-**Angle**) a Congruence Rule? - Expii. If the three **angles** (AAA) **are** congruent between two triangles, that **does** NOT **mean** that the triangles have to be congruent. They **are** the same shape (and **can** be called similar), but we don't know anything about their size.

may be reformulated as the **AAA** (angle-angle-angle) **similarity** theorem: two triangles have their corresponding angles equal if and only if their corresponding sides are proportional. Two **similar** triangles are related by a scaling (or **similarity**) factor s: if the first triangle has sides a, b, and c, then the second…