Here are the answers to the exercise:

1. True: A point has no size. (This is a fundamental concept in geometry.)
2. True: A line segment has definite length. (Line segments are finite and measurable.)
3. False: A ray's length can be measured. (A ray extends infinitely in one direction.)
4. True: A line consists of an infinite number of points. (A line is composed of countless points.)
5. True: A plane has an infinite number of lines. (Planes extend infinitely and contain infinitely many lines.)
6. False: $\overrightarrow{RS}$ is the same as $\overrightarrow{SR}$. (Order matters in vectors; they have opposite directions.)
7. True: The endpoint of $\overrightarrow{XY}$ is point $Y$. (The endpoint of a ray is the final point.)
8. False: A plane has length, width, and thickness. (Planes are two-dimensional, with only length and width.)
9. False: If $\overrightarrow{YX}$ and $\overrightarrow{YZ}$ have a common endpoint, then they are opposite rays. (This is not necessarily true unless $X, Y, Z$ are collinear, and $Y$ is between $X$ and $Z$.)
10. True: If $\overrightarrow{OS}$ and $\overrightarrow{OP}$ are opposite rays, then $O$ lies between $S$ and $P$. (Opposite rays start from a common endpoint and extend in opposite directions.)

Would you like further clarification on any of these?

5 Relative Questions:

1. What are the differences between a line, ray, and line segment in geometry?
2. Why is the concept of direction important in vectors like $\overrightarrow{RS}$?
3. Can a plane exist in three-dimensional space if it has only two dimensions?
4. What determines if two rays with a common endpoint are opposite?
5. How do infinite sets, like the points in a line, differ from finite sets in geometry?

Tip:

Always visualize the geometric concepts using diagrams—they make understanding abstract properties like infinity or dimensionality much easier!