Question

Figure P can be created by tiling 4 identical pieces. The pieces should not overlap while tiling. Which of the pieces shown in the options can be used to create figure P, assuming that you can rotate and flip them?

• A.

  

• B.

  

• C.

  

• D.

  

Answer 1

The Correct Option is A, B

To solve this problem, we need to determine which of the given pieces can tile to form Figure P without overlapping. Let's analyze each option, including the possibility of rotating or flipping the pieces.

Option Analysis:

This piece, Fig 1, can be analyzed first. By rotating or flipping, it can be arranged to tile the main figure without overlaps. Therefore, Fig 1 is a viable option.

Next, consider Fig 2. This piece can also be manipulated by rotating or flipping to fit perfectly into the main figure. Hence, Fig 2 is another correct option.

Fig 3 cannot be arranged in a way that tiles the main figure without overlaps, even with rotation or flipping. Therefore, Fig 3 is not a viable option.

Finally, Fig 4 doesn't match any portion of the main figure under any transformations and thus cannot be used to tile it.

In conclusion, the correct pieces that can tile to form Figure P are:

• Fig 1
• Fig 2