In order to find the bisector of a given angle using a paper folding construction, you do not need to create a triangle using the given angle. This statement is false.
Here's a brief explanation of how you can find the bisector of an angle using paper folding without creating a triangle:
1. Fold the paper so that the two sides of the angle overlap precisely.
2. Mark the point where the crease line intersects the angle.
3. Unfold the paper and draw a line connecting the vertex of the angle to the marked point. This line represents the angle bisector.
By following these steps, you can accurately find the bisector of a given angle using paper folding without the need to create a triangle.