Answer
The method for figure 1 is SSS. For figure 2, it’s AAS. In figure 3, the method is ASA. Lastly, for figure 4, the method is AAS. Here’s the rationale: In figure 1, since there are two equal sides and one common side, all sides are congruent, thus SSS applies. In figure 2, two angles and a side that is not between them are congruent, following the AAS postulate. Figure 3 has two angles with the included side congruent, hence ASA applies here. Finally, figure 4 also follows AAS since two angles and a non-included side match.
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