6 Questions
What is the primary purpose of dividing the surface into a series of parallel lines in parallel line development?
To determine the shape of a pattern
What type of shapes are suitable for radial line development?
Cone and pyramid
What is the characteristic of elements in a developed cylinder?
They are parallel and perpendicular to the base
What is the condition for a shape to be suitable for parallel-line development?
It must have parallel lateral edges or elements
What is the shape of the base and top of a developed cylinder?
Circle
What is the orientation of the cylinder during development?
One element lies on the development plane
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.
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!
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