1. 3.5 Continued Partitioning a directed line segment
Geometry
3.5 Continued Partitioning a directed line segment
EQ: How do you partition directed line segments?

2. Geometry 3.5 Parallel & Perpendicular Lines in the Coordinate Plane
Partitioning a line segment… is dividing the segment into two pieces where the lengths of each segment can be written as a ratio.
EX: Find the coordinates of point P along the directed line segment AB so that the ratio of AP to PB is 3 to 2.
Since the desired ratio is 3 to 2, think of dividing the segment into 5 sections (3+2) where AP represents 3 parts and PB represents 2 parts.
Point P will be 3/5 of the way from point A to B.
May 13, 2019
Geometry 3.5 Parallel & Perpendicular Lines in the Coordinate Plane

3. Geometry 3.5 Parallel & Perpendicular Lines in the Coordinate Plane
Find the slope and leave in terms of rise/run.
To find where Point P is located, find 3/5 of the rise and 3/5 of the run. 3 P 6
3.6
Point P is left 1.8 and up 3.6 from (3,2)
1.8
Point p is (4.8, 5.6)
May 13, 2019
Geometry 3.5 Parallel & Perpendicular Lines in the Coordinate Plane

4. Geometry 3.5 Parallel & Perpendicular Lines in the Coordinate Plane
You try it.
Find the coordinates of point P along the directed line segment AB so that AP to PB is the given ratio.
A(1,3), B(8,4); 4 to 1
Slope = 1/7
May 13, 2019
Geometry 3.5 Parallel & Perpendicular Lines in the Coordinate Plane