**Definition of SAA Congruency Postulate**

- If two angles and the included side of one triangle are congruent to the two angles and the included side of another triangle, then the two triangles are congruent.

**More about SAA Congruency Postulate**

- SAA postulate can also be called as AAS postulate.
- The side between two angles of a triangle is called the included side of the triangle.
- SAA postulate is one of the conditions for any two triangles to be congruent.

**Example of SAA Congruency Postulate**

- The triangles ABC and PQR are congruent, i.e., ΔABC ≅ ΔPQR, since ∠CAB = ∠RPQ, AC = PR, and ∠ABC = ∠PQR.

**Solved Example on SAA Congruency Postulate**

If the two triangles given are congruent by SAA postulate then identify the value of angle Q.

Choices:

A. 80°

B. 60°

C. 75°

D. 70°

Correct Answer: A

Solution:

Step 1:If two angles and the non-included side of one triangle is congruent to two angles and the non-included side of another triangle then the two triangles are congruent by SAA postulate.

Step 2:As the given triangles are congruent by SAA postulate

∠FDE = ∠RPQ, DF= PR, and ∠DEF = ∠PQR.

Step 3:And given ∠DEF = 80° it implies ∠PQR = 80° by SAA postulate.

**Related Terms for SAA Congruency Postulate**

- Angle
- Congruent
- Side
- Triangle