In this example, the math teacher is displaying his research skills. He does so when he reviews and evaluates different sources, and he contrasts them in order to plan his lesson. In the case of the doctor, he is using listening skills because he is intently paying attention to the patient's needs. Finally, the designer is being resourceful because he is trying to create something new from the limited amount of materials that he has.
The rain fell, the sun shone, and the flowers began to bloom is the right answer because each phrase in that sentence is written in the same structure. Hope this helped!
Troy believes the lottery to be foolish because there is such a slim chance of winning that there is no point in it. This shows he is a cautious person and isn't gullible.