Point on a Directed Line Segment
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?