Problem:
A square piece of paper is folded twice into four equal quarters, as shown below, then cut along the dashed line. When unfolded, the paper will match which of the following figures?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
Label the vertices of the folded square ABCD, as shown below on the left. Label the endpoints of the cut E and F. The cut along EF will remove vertex B and leave a diamond shape in the middle of the original square when the paper is unfolded, corresponding to choice (E).
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions