Answer:
3. ASA
4. SAS
5. AAS
Explanation:
3. We have two triangles with 2 corresponding equal angles and a corresponding included side length between the two angles in each triangle. Therefore, by the ASA Congruence Theorem, both triangles are congruent.
The answer is ASA.
4. We have two triangles sharing one side. And also I'm each triangle, there is another given corresponding side that are marked to show that they are congruent to each other. This means, two sides of one triangle are congruent to two corresponding sides of the other triangle.
Also, each triangle has an included angle that lies in between the two sides.
Therefore, two sides and an included angle of one triangle are congruent to the corresponding two sides and included angle of the other.
Thus, by the SAS Congruence Theorem, both triangles are congruent.
The answer is SAS.
3. Both triangle share one side. So, one side of one triangle is congruent to the other. Two angles of one triangle are congruent to the corresponding two angles of the other.
Therefore, by the AAS Congruence Theorem, both triangles are congruent.
The answer is AAS.