Partitioning a line segment:
Directed line segment-segment between two points A and B with a specified direction, from A to B or from B to A.
Partitioning a segment divides it.
Ratio- Compares values. a:b or
To find a coordinate point, P, that partitions a segment:
Step 1: label x1, x2, y1, y2, because order matters!
Step 2: find run and rise. Rise=Y2-Y1 Run= X2-X1
Step 3: convert ratio.
Step 4: Find the coordinate point.
Find the coordinate point, P, that partitions segment RS.
Ex 1: RàS, ratio of 2:1
R(-3, 3) & S(6, -3)
Ex 2: AàB, ratio of 3:2
A(3, 4) & B(6, 10)
Ex 3: RàS, ratio of
R(-2, 4) & S(18, -6)
Find point P:
1. Given the points A(5, -1) and B(-5, 3), find the coordinates of the point P on directed line segment BA that partitions BA in the ratio 1:2.
2. Given the points A(-2, 1) and B(4, 5), find the coordinates of the point P on directed line segment BA that partitions BA in the ratio 3:6
3. Find the coordinates of P so that P partitions the segment AB in the ratio 5:1 if A(2, 4) and B(8, 10).
4. Find the coordinates of P so that P partitions the segment AB in the ratio 1 to 3 if A(-5, 4) and B(7, -4).
