Rotated 2D Polygons
Rotation of 2D Shapes to Create Solids
Goal: Create and/or Identify three-dimensional objects that are generated by rotations of two-dimensional objects.
HS.G-GMD.4 (part 2) Building shapes by rotation.
Learning Objective:
Students will be able to create a 2D shape, locate a center and axis of rotation and create a 3D shape. Using the cross section tool, they will be able to identify the base shape.
Tasks:
1. Duplicate the solids shown in the examples below using the follow-me tool.
Use the section tool to investigate the new shape that is formed.
2. Create three different solids by rotating a polygon or circle and present to your peers.
See if they can recreate your shape.
Example 1. Construct a Barrel
The blue line is the axis of rotation and the origin is the center.
Discussion Question: If you rotate the hexagon around the given circle, what shape will result?
Here are a few more examples to consider.
3D rotated hexagon
3D cross section of a rotated hexagon
Updated August 2017