MIDDLE SCHOOL GRADE SIX TAMMY - MOTHER OF EMILY MY DAUGHTERS TEACHER ASKED HER TO GIVE BOTH A DESCRIPTION AND A DEFINITION OF THE FOLLOWING ... CIRCLE, SQUARE, TRIANGLE,HEXAGON...... THE LIST GOES ON. WHAT IS THE DIFFERENCE BETWEEN DEFINITION AND DESCRIPTION ? DO A CIRCLE FOR AN EXAMPLE PLEASE. Hi Tammy, I expect that the teacher wants to emphasize that a mathematical definition is more precise than a description in common language. You might describe a circle as round or shaped like a dime, but a mathematical definition needs to be more precise and use terms that have been defined previously. For example a circle is defined as A circle is the set of all points in the plane that are a given distance from a fixed point. The fixed point is called the center and the given distance the radius. For the others I would probably start with a polygon A polygon is a closed figure in the plane made up of line segments. Here "closed" means that the first and last points in the polygon coincide. A triangle is then a polygon with three sides and a hexagon is a polygon with six sides. I hope this helps, Penny Go to Math Central