Parallel lines problem:
Parallel lines have the same slope, so the answer should give a pair of lines whose slope is equal to that of line m, i.e., 2/3.
The only line that fits the bill is line p, whose slops is (8-6)/(12-9) = 2/3; none of the other lines has a slope of 2/3. Thus, b would be the correct answer here for the first image.
Congruent triangles problem:
Segment ZX and angle Y would be congruent to segment SQ and R, respectively, so the correct answer for the second image would be a.