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part 10 - assembling objects
question 15 of 15
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To solve the assembling objects problem, we analyze the shapes on the left (a small triangle, a larger triangle, and a pentagon - like shape with a missing small triangle - shaped part). We check each option:
- Option A: The shapes don't seem to align correctly with the given components. The angles and the way the small triangle fits don't match.
- Option B: The square - like shape and the triangle don't correspond to our original components. Our original has a pentagon - like shape, not a square.
- Option C: The diamond - shaped figure with the two triangles doesn't match the pentagon - like base we have.
- Option D: The three triangles (one small, two larger? Wait, no, our original has a pentagon - like shape (which can be seen as a quadrilateral with a triangle - shaped cut - out) and two triangles. Wait, re - examining: the left side has a small triangle, a larger triangle, and a pentagon - like shape (which is a quadrilateral with a triangular notch). When we look at option D, the three triangles (arranged in a way that the pentagon - like shape is formed by the larger triangle and the quadrilateral part, and the small triangle fits in the notch) seem to assemble correctly. Wait, maybe I made a mistake earlier. Wait, the leftmost part: first shape is a small triangle (right - angled?), second is a larger triangle, third is a pentagon - like shape (a quadrilateral with a triangular cut - out at the top). Now, looking at option D: the three triangles (one small, two larger) are arranged such that the pentagon - like shape is formed by the combination, and the small triangle fits into the notch. Wait, actually, let's re - check each option:
Wait, the correct approach is to see which option can be formed by combining the three given shapes (small triangle, large triangle, pentagon - like shape). Let's analyze each:
- Option A: The shapes here don't match the three given. The angles and the number of sides don't align.
- Option B: Has a square, which is not part of our original shapes. Our original has a pentagon - like shape, not a square.
- Option C: The diamond - shaped figure with two triangles and a quadrilateral doesn't match the pentagon - like base.
- Option D: The three triangles (arranged in a way that the pentagon - like shape is formed by the larger triangle and the quadrilateral - like part, and the small triangle fits in the notch) seems to be the correct assembly. Wait, maybe I messed up the initial analysis. Let's look at the original components again: the first shape is a small right - angled triangle, the second is a larger triangle, the third is a pentagon - like shape (a quadrilateral with a triangular cut - out at the top, so it's like a quadrilateral with a triangle missing from one corner). When we look at option D, the three triangles (one small, two larger) are put together such that the small triangle fills the cut - out in the pentagon - like shape, and the larger triangles form the rest. So option D is the correct assembly.
Wait, no, maybe I was wrong. Wait, let's look at the original left - hand side: the three shapes are: 1) a small triangle (let's say with vertices at (0,0),(1,0),(0,1)), 2) a larger triangle (maybe (0,0),(2,0),(0,2)), and 3) a pentagon - like shape which is a quadrilateral (like a square with the top - right corner cut off, making a pentagon with a triangular notch). Now, option D: if we take the large triangle, the quadrilateral (pentagon - like) and the small triangle, they fit together. The large triangle forms the base, the quadrilateral attaches, and the small triangle fills the…
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