Answer:
The method for figure 1 is SSS.
The method for figure 2 is AAS.
The method for figure 3 is ASA.
The method for figure 4 is AAS.
Step-by-step explanation:
In figure 1, two corresponding sides are equal and one sides is common. It means all corresponding sides are congruent.
By SSS postulate, both triangles are congruent.
Therefore the method for figure 1 is SSS.
In figure 2, two angles and a non-included side of one triangle are congruent to the corresponding parts of another triangle.
By AAS postulate, both triangles are congruent.
Therefore the method for figure 2 is AAS.
In figure 3, two angles and included side of one triangle are congruent to the corresponding parts of another triangle.
By ASA postulate, both triangles are congruent.
Therefore the method for figure 3 is ASA.
In figure 4, two angles and a non-included side of one triangle are congruent to the corresponding parts of another triangle.
By AAS postulate, both triangles are congruent.
Therefore the method for figure 4 is AAS.
