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Between vs. Midpoint

Introduction

Point M is the midpoint of segment AB while Point C is merely between A and B. Notice that you can slide Point C from left to right, but not Point M. You can also move points A and B. Use the refresh symbol in the upper right corner to reset the construction at any time.

Reflection

As you move Point C, what do you notice about the lengths AC, CB, and AB? As you move points A and B, what do you notice about the lengths AM, MB, and AB?