Subjects geometry

Shape Dissection 10C3Cf

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Question: User: in 4 diffrent colors do the big shape
1. The problem is to divide the large white stepped rectangle into 4 similar shapes, each colored differently. 2. Similar shapes have the same angles and proportional sides. 3. To dissect the stepped rectangle into 4 similar shapes, we need to find a way to partition it so each part is a scaled version of the whole. 4. One approach is to use the grid to identify points that divide the shape into 4 smaller stepped rectangles, each similar to the original. 5. By scaling down the original shape by a factor of $\frac{1}{2}$ in both width and height, we get 4 smaller shapes that fit together to form the original. 6. Assign each smaller shape a different color to distinguish them. 7. This method respects similarity because each smaller shape is a scaled copy of the original stepped rectangle. Final answer: The large stepped rectangle can be divided into 4 smaller stepped rectangles, each scaled by $\frac{1}{2}$, and colored differently to show the dissection into 4 similar shapes.