Question

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

Explanation:

Step1: Analyze each option by observing the diagram

Check the position - relation of line \(h\) with planes and lines.

Step2: Check option 1

From the diagram, line \(h\) has points \(A\) and \(B\) on plane \(R\), and point \(A\) on plane \(P\) and \(T\). So line \(h\) has points on planes \(R\), \(P\), and \(T\).

Step3: Check option 2

Line \(h\) intersects line \(f\) at only one point \(A\), not two points \(A\) and \(B\).

Step4: Check option 3

Line \(h\) does not intersect plane \(P\) at point \(C\). Point \(C\) is on line \(l\) and plane \(P\).

Step5: Check option 4

The intersection of planes \(R\) and \(T\) is not line \(h\).

Answer:

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