Question

planes s and r both intersect plane t. which statements are true based on the diagram? select three options. 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.

Explanation:

Step1: Check plane - point relationship

By observing the diagram, point B and point E are in plane S, so "Plane S contains points B and E" is true.

Step2: Check line - plane relationship

The line containing A and B does not lie entirely in plane T, so "The line containing points A and B lies entirely in plane T" is false.

Step3: Check line - line intersection

Line v does not intersect lines x and y at the same point, so "Line v intersects lines x and y at the same point" is false.

Step4: Check line - plane intersection

Line z intersects plane S at point C as shown in the diagram, so "Line z intersects plane S at point C" is true.

Step5: Check plane - plane intersection

Planes R and T intersect at line y as shown in the diagram, so "Planes R and T intersect at line y" is true.

Answer:

Plane S contains points B and E.
Line z intersects plane S at point C.
Planes R and T intersect at line y.