For the first parenthesis, it would be the Angle Angle Similarity Postulate since we have essentially pairs of corresponding congruent angles that match up, allowing for these three similar triangles
The second parenthesis would be "proportional". Any time you have similar triangles, the sides form a ratio. For example if ABC is similar to DEF, then AB/DE = BC/EF
Finally the third parenthesis would be "Segment Addition Postulate" possibly shorted and abbreviated to simply SA. This idea is that we can glue two lines together to form a larger line. In this case, AD+DB turns into AB.
For the first parenthesis, it would be the Angle Angle Similarity Postulate since we have essentially pairs of corresponding congruent angles that match up, allowing for these three similar triangles
The second parenthesis would be "proportional". Any time you have similar triangles, the sides form a ratio. For example if ABC is similar to DEF, then AB/DE = BC/EF
Finally the third parenthesis would be "Segment Addition Postulate" possibly shorted and abbreviated to simply SA. This idea is that we can glue two lines together to form a larger line. In this case, AD+DB turns into AB.