Question:

Six different shapes are cut from a square as shown on the left. Which option(s) is/are made using only the cut pieces? Pieces can be rotated and not all pieces need to be used.

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For cut-and-assemble problems: \begin{itemize} \item Compare angles and edge lengths closely, \item Rotation is allowed but reflection is not, \item Try matching the largest pieces first. \end{itemize}
Updated On: Jan 30, 2026
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The Correct Option is B, D

Solution and Explanation

Step 1: Observe the square on the left and identify the six distinct pieces formed by the cuts. Note their shapes, angles, and relative side lengths. \bigskip Step 2: Remember that: \begin{itemize} \item Pieces may be rotated, \item Pieces cannot be resized or reflected, \item Not all pieces must be used. \end{itemize} \bigskip Step 3: Examine each Carefully and check whether the shown figure can be assembled exactly using only the given cut pieces: \begin{itemize} \item A: Requires a shape that does not match any available piece — invalid. \item B: Can be perfectly assembled using a subset of the given pieces — valid. \item C: Contains angular mismatches and incompatible edges — invalid. \item Option D: Matches the geometry of the available pieces when rotated appropriately — valid. \end{itemize} \bigskip Final Answer: \[ \boxed{\text{B, D}} \] \bigskip
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