Sorry i am late to the party but the snawer for the first problem is SAS. We know that segment AD is congruent to segment CD becausse of those tick marks. We also know that the angles towards the bottom of the diagram are congruent because they have the angle symbols. Finally BD=BD because of the reflexive property. We have a side an equal angle and finally another side.
Number 2 is SSS. Segment PR is congruent to Segment NQ because of the tick marks (1 line of tick marks.) In addition, PN=RQ because they both have 2 tick marks. Lastly we know PQ=PQ because of the reflexive property. We have a side, a side, and another side.