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planes s and r both intersect plane t which statements are true based o…

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 the first option

Plane S does not contain point E. So, "Plane S contains points B and E" is false.

Step2: Analyze the second option

Points A and B are in plane T, so the line containing them lies entirely in plane T. This is true.

Step3: Analyze the third option

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: Analyze the fourth option

From the diagram, line z intersects plane S at point C. This is true.

Step5: Analyze the fifth option

Planes R and T intersect along line y. This is true.

Answer:

  • The line containing points A and B lies entirely in plane T.
  • Line z intersects plane S at point C.
  • Planes R and T intersect at line y.