Problem Analysis:
The task involves identifying the correct 3D shape that corresponds to a given sequence of transformations. The sequence is depicted in the top row, and we need to determine which of the provided options (A, B, C, or D) matches the final shape after all transformations.
#### Step 1: Understand the Sequence
The sequence shows a series of transformations applied to a 3D object. Let's break it down step by step:
1.
Initial Shape: The starting shape is a simple 3D block with a flat top.
2.
Transformation 1: A triangular prism is added on top of the block.
3.
Transformation 2: A smaller rectangular block is added to the side of the main block.
4.
Transformation 3: Another triangular prism is added on top of the existing structure.
5.
Final Shape: The sequence ends with the complete transformed shape.
#### Step 2: Analyze the Final Shape
From the sequence, the final shape should have:
- A base block.
- Two triangular prisms stacked on top of each other.
- A smaller rectangular block attached to the side of the base.
#### Step 3: Evaluate the Options
Now, let's examine each option (A, B, C, D) to see which one matches the described final shape:
-
Option A: This shape has two triangular prisms stacked on top of each other, but it does not have a rectangular block attached to the side. It also has an additional feature (a small protrusion at the bottom), which is not present in the sequence.
-
Option B: This shape has a base block with a rectangular block attached to the side. However, it does not have two triangular prisms stacked on top. Instead, it has a single triangular prism and another irregular shape, which does not match the sequence.
-
Option C: This shape has two triangular prisms stacked on top of each other, but it does not have a rectangular block attached to the side. It only has the triangular prisms and the base block, which is incomplete compared to the sequence.
-
Option D: This shape has a base block with a rectangular block attached to the side. On top of this, there are two triangular prisms stacked vertically. This matches exactly with the final shape described in the sequence.
#### Step 4: Conclusion
The correct answer is
Option D, as it perfectly matches the final shape after all the transformations in the sequence.
Final Answer:
\[
\boxed{D}
\]
Parent Tip: Review the logic above to help your child master the concept of spatial reasoning worksheet.
