Task# The Geometry of Letters

Illustrative MathematicsVaries

The purpose of this task is for students to analyze the geometry of letters. Letters provide a good opportunity for students to broaden their understanding of what constitutes a 2-dimensional geometric figure. Most students recognize polygons, circles, ellipses, and simple closed curves with some kind of symmetry as 'shapes,' but a 2-D geometric figure in general is simply a specified collection of points in the plane. So, for example, you can have a geometric figure that is not connected (like the lower case letters 'i' and 'j'), or you can have a geometric figure that is composed of a simple closed curve with a line segment sticking out of it (like the letter 'P').