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Questions and Answers
What is the primary purpose of dividing the surface into a series of parallel lines in parallel line development?
What is the primary purpose of dividing the surface into a series of parallel lines in parallel line development?
What type of shapes are suitable for radial line development?
What type of shapes are suitable for radial line development?
What is the characteristic of elements in a developed cylinder?
What is the characteristic of elements in a developed cylinder?
What is the condition for a shape to be suitable for parallel-line development?
What is the condition for a shape to be suitable for parallel-line development?
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What is the shape of the base and top of a developed cylinder?
What is the shape of the base and top of a developed cylinder?
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What is the orientation of the cylinder during development?
What is the orientation of the cylinder during development?
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Study Notes
Parallel Line Development
- Uses parallel lines to construct the expanded pattern of 3D shapes.
- Divides the surface into a series of parallel lines to determine the shape of a pattern.
- Examples: Prism, Cylinder.
Radial Line Development
- Uses lines radiating from a central point to construct the expanded pattern of 3D shapes.
- Examples: Cone, Pyramid.
Characteristics of Parallel-Line Developments
- Made from common solids composed of parallel lateral edges or elements.
- Examples: Prisms and cylinders.
- The cylinder is positioned with one element lying on the development plane.
- The cylinder is unrolled until it is flat on the development plane.
- The base and top of the cylinder are circles, with a circumference equal to the length of the development.
- All elements of the cylinder are parallel and perpendicular to the base and the top.
- When cylinders are developed, all elements are parallel and any perpendicular section appears as a stretch-out line perpendicular to the elements.
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Description
Learn about parallel line development and radial line development in geometry, including their use in constructing expanded patterns of three-dimensional shapes such as prisms, cylinders, cones, and pyramids. Understand the differences between these two methods and how they are applied to various solids. Test your knowledge with this quiz!
