Partitioning of Line Segment Exploration 3
- Author:
- Ken Garrabrant
- Topic:
- Line Segment
Objective: I will be able to determine the coordinates of Point C on Line Segment AB in the ratio m:n.
1. With the ratio at 1:1, Point C appears to be the midpoint. Use the midpoint formula to ascertain whether Point C is at the midpoint. Explain how the ratio 1:1 would place Point C at the midpoint of AB.
2. Change the ratio to 3:1. How many equally spaced parts are in AB. How does the ratio 3:1 explain the positioning of Point C on the coordinate grid? Use the section formula to check the coordinate of Point C.
3. Change the ratio to 1:3. Explain why the coordinates of Point C changed. Use the section formula to check the coordinates of Point C.
4. Change the ratio m:n. Use the section formula to check the positioning of Point C.
5. Drag Point A to another coordinate (x,y), explain how Point C changes with the ratio m:n from question 4. Check the coordinates with the section formula.