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: Analyze plane - point relationship

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

Step2: Analyze line - plane relationship

The line containing points 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: Analyze line - line intersection

Line v intersects line x at point A and line y at point A, so "Line v intersects lines x and y at the same point" is true.

Step4: Analyze line - plane intersection

Line z intersects plane S at point C, so "Line z intersects plane S at point C" is true.

Step5: Analyze plane - plane intersection

Planes R and T intersect at line y, so "Planes R and T intersect at line y" is true.

Answer:

Plane S contains points B and E; 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 (select any three of these four correct statements)