Which one of the following shapes can be used to tile (completely cover by repeating) a flat plane, extending to infinity in all directions, without leaving any empty spaces in between them? The copies of the shape used to tile are identical and are not allowed to overlap.
Show Hint
- circle
- regular octagon
- regular pentagon
- rhombus
The Correct Option is A
Solution and Explanation
- Rhombus (D): A rhombus, being a parallelogram, can also tile the plane completely without gaps. The rhombus shape allows perfect tiling with no overlap and no gaps between tiles.
- Regular octagon (B) and regular pentagon (C): These shapes cannot tile the plane completely without gaps or overlaps, hence they are not suitable for tiling in this context.
- Therefore, the correct answers are circles (A) and rhombus (D).
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