The triangles (7) are congruet triangles by AAS and the triangles (8) are congruet triangles ASA
Stating whether the triangles are congruent and by which theorem.
From the question, we have the following parameters that can be used in our computation:
The triangles
Such that
- The triangles (7) are congruet triangles by AAS
- And, the triangles (8) are congruet triangles ASA
This is so because
The AAS Theorem states that if two angles and the included side of one triangle are congruent to the corresponding angles and included side of another triangle, then the two triangles are congruent.
This is true for triangles (7)
The ASA Theorem states that if two angles and a non-included side of one triangle are congruent to the corresponding angles and non-included side of another triangle, then the two triangles are congruent.
This is true for triangles (8)