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