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Rotate the objects shown below by the indicated amount. Sketch the result in the space provided. Make sure you perform the rotations in the given order.

Rotate the objects shown below by the indicated amount. Sketch the result in the space provided. Make sure you perform the rotations in the given order.

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15-1. Rotate the objects shown below by the indicated amount. Sketch the result in the space provided. Make sure you perform the rotations in the given order.

The image contains diagrams showing three-dimensional shapes made of cubes, positioned on dotted grids. Each diagram is labeled with numbers (1, 2, 3, 4) and shows axes marked as X, Y, and Z, indicating directions of positive or negative axis movements. Here’s a detailed explanation for the first and third diagrams visible: 1. **Diagram 1:** - The shape consists of six cubes stacked and arranged in an L-shape, with three cubes forming the base, two stacked directly on top, and one atop the center cube. - The axes are labeled with: - X-axis pointing to the right, noted as "+X" - Z-axis pointing towards the viewer, noted as "+Z" - The Y-axis points upwards without a sign, indicating it is the default direction. 3. **Diagram 3:** - This shape is made of seven cubes. It forms an L-shape with three cubes as the base, a layer of two cubes directly on top, and two more cubes at the back, forming a step-like structure. - The axes are labeled with: - X-axis pointing to the left, noted as "−X" - Z-axis pointing towards the viewer, noted as "−Y" - The Y-axis, again, points upwards. The dotted grids appear to represent a three-dimensional space, allowing visualization of spatial orientation and positioning of the cube structures in relation to the X, Y, and Z axes. The circular markers with axis signs suggest possible directional transformations or rotations in the 3D space.
Transcribed Image Text:The image contains diagrams showing three-dimensional shapes made of cubes, positioned on dotted grids. Each diagram is labeled with numbers (1, 2, 3, 4) and shows axes marked as X, Y, and Z, indicating directions of positive or negative axis movements. Here’s a detailed explanation for the first and third diagrams visible: 1. **Diagram 1:** - The shape consists of six cubes stacked and arranged in an L-shape, with three cubes forming the base, two stacked directly on top, and one atop the center cube. - The axes are labeled with: - X-axis pointing to the right, noted as "+X" - Z-axis pointing towards the viewer, noted as "+Z" - The Y-axis points upwards without a sign, indicating it is the default direction. 3. **Diagram 3:** - This shape is made of seven cubes. It forms an L-shape with three cubes as the base, a layer of two cubes directly on top, and two more cubes at the back, forming a step-like structure. - The axes are labeled with: - X-axis pointing to the left, noted as "−X" - Z-axis pointing towards the viewer, noted as "−Y" - The Y-axis, again, points upwards. The dotted grids appear to represent a three-dimensional space, allowing visualization of spatial orientation and positioning of the cube structures in relation to the X, Y, and Z axes. The circular markers with axis signs suggest possible directional transformations or rotations in the 3D space.
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