Point on a Directed Line Segment

Author:
Lydia East
The goal of this activity is to find the point that divides line segment AB into a ratio of 2:1. 1. To get a ratio of 2:1, how many equal pieces do we need to divide the line segment into? 2. Divide the dotted segment AC into 3 equal pieces by putting a new point at each division. Where is each new point? (Write the coordinates.) 3. Divide the dotted segment CB into 3 equal pieces by putting a new point at each division. Where is each new point? 4. Using this, divide line segment AB into 3 equal pieces. Where is the point that divides the line segment into a ratio of 2:1?