Need

planes s and r both intersect plane t . which statements are true based on the diagram? check all that apply.

plane s contains points b and e.
the line containing points a and b lies entirely in plane t.
line v intersects lines x and y at the same point.
line z intersects plane s at point c.
planes r and t intersect at line y.

Based on the diagram, we can assume that planes S and R are parallel.

"Plane S contains points B and E." (false)
 
S contains B. E is in R. S and R have no common point, so E cannot be in both R and S so E is not in S 

"The line containing points A and B lies entirely in plane T." (true)

a plane containing 2 points of a line, contains the line itself. A and B are in plane T, so the line through A and B is in T

"Line v intersects lines x and y at the same point." (false)

x is in S, y is in R and S and R are parallel, so they have no common point. Thus lines x and y have no common point.

"Line z intersects plane S at point C." (correct)

C is clearly the intersecting point of line z and plane S

"Planes R and T intersect at line y." (correct)

y is a line common to both planes R and T. The line of intersection of 2 planes is unique, so that unique line is y

Wow. that is a really cool question.