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 first option

Two distinct lines can intersect at most at one - point. Line $h$ and line $f$ intersect at point $A$ only, not at two points $A$ and $B$.

Step2: Analyze second option

The intersection of planes $R$ and $T$ is line $f$, not line $h$.

Step3: Analyze third option

Line $h$ does not intersect plane $P$ at point $C$. Point $C$ is on plane $P$ and line $f$, not on line $h$.

Step4: Analyze fourth option

From the diagram, line $h$ has point $A$ on plane $T$, point $B$ on plane $R$, and since line $h$ lies on plane $P$, it has points on planes $R$, $P$, and $T$.

Answer:

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