This square sheet of paper P QRS measures 40 cm × 40 cm.
The top-left corner P is folded down to meet M, the midpoint of the bottom side RS, making a single straight crease.
Where does the crease cross QR, the right-hand side of the sheet of paper?
To determine where the crease crosses the right-hand side of the sheet of paper, we can use the concept of symmetry.
First, let's understand the situation described:
- We have a square sheet of paper labeled P QRS, measuring 40 cm × 40 cm.
- The top-left corner P is folded down to meet the midpoint M of the bottom side RS, creating a single straight crease.
Since the paper is folded symmetrically, the crease will create a symmetrical relationship between the right-hand side QR and the left-hand side PS.
To find where the crease crosses QR, we need to identify the corresponding point on QR to the midpoint M on the left-hand side.
Here's how you can determine the point where the crease crosses QR:
1. Recognize that the midpoint of the left-hand side PS is also the midpoint of the entire line segment PS. Therefore, the midpoint M divides PS into two equal parts.
2. Measure the length of the left-hand side PS. In this case, PS measures 40 cm.
3. Divide the length of PS by 2 to find the length of the first half (PM) or the second half (MS). In this case, PM and MS would both measure 20 cm.
4. Starting from point Q on the right-hand side QR, measure a distance of 20 cm toward the midpoint of QR.
5. Mark this point as the intersection of the crease with QR.
By following these steps, you will be able to find the exact point where the crease crosses the right-hand side of the sheet of paper.