(2) Fold another sheet of paper in half. Fold it in half again. Make a mark on both folded edges 2 inches from the folded corner. Cut off the folded corner. Before you unfold the cutoff piece, guess its shape. a. Unfold the cutoff piece. What shape is it?

To solve this problem, let's break it down step by step: 1. **Folding the Paper:** - You start with a sheet of paper and fold it in half. This creates a crease down the middle. - Then, you fold it in half again, which creates another crease, resulting in four layers of paper. 2. **Marking the Edges:** - You make a mark on both folded edges (the two edges that were created by the last fold) 2 inches from the folded corner. 3. **Cutting the Corner:** - You then cut off the folded corner of the paper, which is the point where the two folded edges meet. 4. **Unfolding the Cutoff Piece:** - After cutting, you unfold the cutoff piece to see what shape it has formed. ### Guessing the Shape: Before unfolding, you might guess that the shape could be a triangle, as you are cutting off a corner from a folded piece of paper. ### Unfolding the Cutoff Piece: When you unfold the cutoff piece, it will reveal the actual shape. Since you folded the paper twice and made a cut 2 inches from the corner, the shape of the cutoff piece will be a larger triangle. Specifically, it will be an isosceles triangle because both sides (the edges you marked) are equal in length (2 inches) and the base will be the distance between the two marks on the folded edges. ### Conclusion: The shape of the cutoff piece, when unfolded, is an isosceles triangle.