Task# Finding the distance between points

Illustrative MathematicsVaries

The goal of this task is to establish the distance formula between two points in the plane and its relationship with the Pythagorean Theorem. Students should already be familiar with applying the Pythagorean in concrete situation. The teacher will want to make sure that students explain their calculations in parts (a) and (b). For each segment length calculation in (a), this will mean drawing a right triangle which has the given segment as one of its sides.