Find point partitioning segment

What you'll learn

1. Explain what a directed line segment is and how direction determines the order of the endpoints in partition problems
2. Derive and apply the section formula to find the point that divides a directed line segment in a given ratio m:n
3. Recognize the midpoint formula as the special case of the section formula when the ratio is 1:1
4. Solve problems that require finding a point a given fraction of the way from one endpoint to another
5. Connect the partition formula to proportional reasoning and similarity, explaining why the formula works

Prerequisites

• Explain similarity transformations