Question

the diagram shows several planes, lines, and points. which statement is true about line h? line h intersects line f at two points, a and b. line h is the intersection of planes r and t. line h intersects plane p at point c. line h has points on planes r, p, and t.

Explanation:

Step1: Analyze intersection of line h and line f

Line h and line f intersect at only point A, not two points A and B. So the first option is false.

Step2: Analyze intersection of planes for line h

Line h is not the intersection of planes R and T. The intersection of planes R and T is not line h. So the second option is false.

Step3: Analyze intersection of line h and plane P

Line h does not intersect plane P at point C. Point C is on plane P but not on line h. So the third option is false.

Step4: Analyze points on line h and planes

Line h has points A and B which are on plane R, and it passes through the region related to planes P and T, so it has points on planes R, P, and T. This option is true.

Answer:

Line h has points on planes R, P, and T.