The question is asking which figure represents a line $m$ intersecting plane $R$ at a single point.

Analysis of Options:

• A: Line $m$ is shown perpendicular to plane $R$, intersecting at one point. This matches the description of a line intersecting a plane at a single point.
• B: Line $m$ and plane $R$ appear to be parallel, so they would not intersect at any point. This does not fit the description.
• C: Line $m$ is lying on plane $R$, meaning it would intersect at multiple points, not a single one. This is also incorrect.
• D: A point $m$ is shown on plane $R$, but there’s no line shown intersecting at a single point, so this is not the correct option.

Conclusion:

The correct figure is A, where line $m$ intersects plane $R$ at a single point.

Would you like more details on this? Here are some related questions you might find interesting:

1. What is the geometric relationship between a line and a plane in space?
2. How can we determine if a line lies on, is parallel to, or intersects a plane?
3. What are the conditions for a line to intersect a plane at a single point?
4. How can we visualize lines and planes in 3D space?
5. What are other common relationships between lines and planes in geometry?

Tip: Always ensure the definitions of "intersect," "parallel," and "lie on" are clear when analyzing geometric figures.