Which of the following pieces will fit together, WITHOUT OVERLAPPING, to form the shape?

Which of the following pieces will fit together, WITHOUT OVERLAPPING, to form the shape?

Answer

To determine which option fits together to recreate the shaded shape, we will analyze each option by seeing if they can combine without overlapping. 1. **Understanding the base shape**: The shape we need to form consists of two angular pieces. One is narrower at the top and wider at the bottom, creating a zigzag effect. 2. **Option A**: - First piece: resembles a triangle and does not match the bottom of the base shape. - Second piece: more like an angular triangle. Together, they do not combine well to match the shaded shape. - **Conclusion**: Does NOT fit. 3. **Option B**: - First piece: shapes like an angular triangle and could potentially fit. - Second piece: wide and triangular, but misaligned with the base shape's angle. Overall, combining both will not recreate the shaded piece. - **Conclusion**: Does NOT fit. 4. **Option C**: - First piece: an angular piece that seems to match part of the shape. - Second piece: wider, geometric, and can fit perfectly with the first. If rotated properly, they align to form the shaded shape correctly. - **Conclusion**: Fits the shape. 5. **Option D**: - First piece: another angular piece, but does not align well with our shape’s structure. - Second piece: does not satisfactorily connect with the first to replicate the shaded shape. - **Conclusion**: Does NOT fit. After analyzing all options, only **Option C** successfully fits to create the original shaded shape without overlapping. Therefore, it is the correct answer.