The angles are matched as follows
1. Δ QPS ≅ Δ MKN by AAS
2. Δ WXY ≅ Δ WZY by SSS
3. Δ CBD ≅ Δ GHI by SAS
4. This triangle may not be congruent
5. Δ NTS ≅ Δ NPQ by ASA
Types of congruence
SAS congruence
If two sides and the included angle of one triangle are congruent to the corresponding two sides and included angle of another triangle, then the two triangles are congruent.
SSS congruence:
If all three sides of one triangle are congruent to the corresponding three sides of another triangle, then the two triangles are congruent.
ASA congruence:
If two angles and the included side of one triangle are congruent to the corresponding two angles and included side of another triangle, then the two triangles are congruent.
AAS congruence:
The AAS congruence theorem states that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.
There is no theorem for three angles being equal