A paper strip with a different colour on each side is joined as shown in the figure. If this strip is cut along the dashed line, which of the options correctly represent(s) the result(s)?
This problem involves a paper strip with different colors on each side, joined as shown in the figure. We need to determine the resulting shapes when the strip is cut along the dashed line. The solution requires visualizing the cutting process and understanding how the strip unfolds post-cutting.
When a paper strip with different colors on its sides is joined in a loop and cut longitudinally, the following typically occurs:
Initial Configuration: The paper strip is a loop with distinct colors on each side.
Cutting Process: Cutting along the dashed line divides the loop lengthwise, but since the strip is twisted and joined, the cut doesn't result in separate circular strips of the original color on both sides.
Resultant Shape: Instead, the cut will usually result in one or more intertwined loops, showing alternating colors from both sides. The loops might remain connected.
Based on these steps and the diagrams provided with the correct answers:
The correct outcomes should resemble interconnected loops, possibly alternating colors (as indicated by the correct answer).
By referring to the provided correct answer images:
These images illustrate that, post-cutting, the strip remains connected with colors from both sides visible, reflecting expected outcomes based on the configuration of the cut.
