This activity is for classes who have trouble keeping track of geometric objects that are measurable and objects that cannot be measured (are infinite). This distinction is important because measurable objects can be congruent to each other though we write the objects differently in each case.
Option 1: Give student pairs or groups the blank Venn diagram with unlabeled points. They have to think together about what each point in each circle may represent. Compare answers as a class.
Option 2: Use the second sheet with the suggested answers as a mini-lecture one day.
Not yet classroom-tested.