Given below is a pattern P, composed of three different shapes 1, 2, and 3. Which options show the pattern(s) that is/are possible if the shape 2 is cut in half along the vertical axis, the shape 3 is rotated clockwise at the center by 45 degrees, and the shape 1 remains unchanged? Overlapping of shapes is not allowed.
Show Hint
When manipulating shapes in patterns, ensure to visualize the effects of transformations like cutting and rotating before finalizing the arrangement.
Step 1: Analyzing the given pattern and transformations.
The transformation involves cutting shape 2 in half along the vertical axis, rotating shape 3 clockwise by 45 degrees, and leaving shape 1 unchanged. This requires checking the options for the correct arrangement after these transformations. Step 2: Analyzing the options. (A) Pattern A: This is a valid option as the transformation of shapes is correctly applied and the shapes do not overlap. (B) Pattern B: This is also a valid option, as the transformations match the given conditions. (C) Pattern C: This option is incorrect, as the transformation does not match the given pattern correctly. (D) Pattern D: This is a valid option, as it correctly shows the result of the transformations. Step 3: Conclusion.
The correct answers are (A), (B), and (D), as they satisfy the conditions for shape transformations and do not result in overlapping.
