Fogarty - Partitioning of Line Segment Exploration
Objective: I will be able to determine the coordinates of Point C on Line Segment AB in the ratio m:n.
1. Point C appears to be the midpoint. Use the midpoint formula to check whether Point C is at the midpoint.
2. Explain how the ratio 1:1 would place Point C at the midpoint of AB.
3. Change the ratio to 3:1. How many equally spaced parts are in AB.
4. Change the ratio to 1:3. Explain why the coordinates of Point C changed.
5. How does the slope of AC compare with the slope of AB? Why?