Concept:
Control points (or tie points) are known reference locations used during georeferencing to relate image coordinates to real-world coordinates.
Step 1: Understand control points.
They establish correspondence between
• Image coordinates
• Ground (map) coordinates
allowing accurate georeferencing.
Step 2: Identify the primary function.
Hence,
\[
\boxed{\text{Control points assign real-world coordinates to digitized data}.}
\]
Therefore, the correct option is
\[
\boxed{(A).}
\]