# G.2.6.2 Proving the Side-Angle-Side Triangle Congruence Theorem

- Author:
- Katie Akesson

- Topic:
- Congruence

Two triangles have 2 pairs of corresponding sides congruent, and the corresponding angles between those sides are congruent. The two 2 triangles are *LMN* and *PQR*, so that:

- Segment
*LM*is congruent to segment*PQ* - Segment
*LN*is congruent to segment*PR* - Angle
*L*is congruent to angle*P*

Now two of the corresponding points coincide because of the rigid transformation we already performed. What about the third pair of corresponding points? Why do they not coincide? Explain how you know.

Why will a reflection get the third pair of corresponding points to coincide?

Now that all three corresponding vertices coincide what do we know about the triangles?