Short Answer 
The AA postulate allows us to identify similar triangles by comparing their angles, while the SAS postulate does so by evaluating the proportionality of sides and included angles. Additionally, some triangles may be classified as not similar if they do not meet the established criteria.
Step 1: Identify Triangle Similarities Using AA Postulate
The AA (Angle-Angle) similarity postulate states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar. In this context, we can say that:
- ≈ÃiSUT ~ ≈ÃiWUV due to equal angles.
- ≈ÃiMBR ~ ≈ÃiLPZ based on AA similarity.
- ≈ÃiLNK ~ ≈ÃiJNM also holds by AA similarity.
Step 2: Establish Similarity Through SAS Postulate
The SAS (Side-Angle-Side) similarity postulate applies when two sides of one triangle are proportional to two sides of another triangle, and the angles between those sides are equal. For instance:
- ≈ÃiKDH ~ ≈ÃiABD based on proportional sides and equal included angle.
- ≈ÃiSRT ~ ≈ÃiPRQ follows the SAS criteria with proportional sides.
- ≈ÃiAEB ~ ≈ÃiCED is similar as per the SAS similarity postulate.
Step 3: Analyze Non-Similar Triangles
There are instances where triangles are determined to be not similar. This conclusion can arise from failure to meet similarity criteria. For example:
- ≈ÃiKJL and ≈ÃiGJH are identified as not similar.
- ≈ÃiPQR and ≈ÃiPST do not meet similarity conditions.
Understanding both similar and non-similar relationships helps in comprehensively grasping triangle properties.