Equidistant Locus
1. **State the problem:**
Complete the sentence to describe the locus of points inside rectangle PQRS that are equidistant from sides PS and QR.
2. **Analyze the problem:**
- The rectangle PQRS has corners P (top-left), Q (top-right), S (bottom-left), and R (bottom-right).
- PS and QR are the left and right vertical sides of the rectangle.
- Points equidistant from these two vertical sides lie on the vertical line exactly midway between them.
3. **Find the midpoints:**
- The midpoint of PQ is halfway along the top edge.
- The midpoint of RS is halfway along the bottom edge.
4. **Conclusion:**
- The locus is the vertical line segment connecting the midpoints of PQ and RS.
- This is because points on this line are equally distant from PS and QR.
**Final answer:**
The locus of points inside rectangle PQRS equidistant from sides PS and QR is a line between the midpoints of PQ and RS.