In this topic, you will learn how to determine the number of sides a polygon has when given the interior or exterior angle of a polygon. Polygons are all over the place, but one of the most common applications you can see are tessellations. You can see tessellations in art and design, as well as geometry. In this topic, you will learn how to identify tessellations, learn if a regular polygon will tessellate a plane and determine angle measures when given adjacent figures.
Essential Questions
- When given interior angle measures of a regular polygon, how can you determine its number of sides?
- When given exterior angle measures of a regular polygon, how can you determine its number of sides?
- How can you identify a tessellation and determine if a regular polygon will tessellate a plane?
- How can you determine angle measures when given adjacent figures?
Warm-Up
A tessellation is a pattern made up of shapes that fit perfectly together and do not overlap or leave any gaps. Before you explore tessellations, see if you can make a tessellation in this non-graded interactivity. Click the player button to get started.