planes s and r both intersect plane t. which statements are true based on the diagram? select three options…
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.
Answer
Explanation:
Step1: Check plane - point relationship for plane S
From the diagram, points B and E are in plane S, so "Plane S contains points B and E" is true.
Step2: Check line - plane relationship for line AB and plane T
The line containing A and B is the intersection of planes S and T, not entirely in plane T, so "The line containing points A and B lies entirely in plane T" is false.
Step3: Check line - line intersection for line v
Line v intersects line x at point B and line y at point A, not at the same point, so "Line v intersects lines x and y at the same point" is false.
Step4: Check line - plane intersection for line z
Line z intersects plane S at point C, so "Line z intersects plane S at point C" is true.
Step5: Check plane - plane intersection for planes R and T
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 z intersects plane S at point C. Planes R and T intersect at line y.