Name: ______________________
Class: _________________
Date: _________
ID: A
Ratios of Directed Line Segments
Short Answer
Calculating Ratios for Directed Line Segments follows a four step proceedure:
A. Subtract the Start from the Finish
B. Convert the ratio
C. Multiply the new ratio to the vector
D. Add the answer from step C to the coordinates of the starting point.
1. A directed line segment is:
2. If somebody tells you to place the point P so that it “partitions the line segment AB using the ratio 3:4”,
that means that AP would be 3 units long while PB would be 4 units long. Sketch AB and put point P in
the appropriate place. Label the distances.
3. Convert the ratio 5 to 6 to a ratio of the whole.
4. Given the points A(–1, 2) and B(7, 8), find the coordinates of the point P on directed line segment AB
that partitions AB in the ratio 1 .
3
1
Name: ______________________
ID: A
5. Find the coordinates of P so that P partitions the segment in the ratio 5:1 if A(2, 4) and B(8, 10).
6. 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)
7. Do the following on graph paper: Find the coordinates of P so that P partitions the segment AB in the
ratio 2 if A(-8, -2) and B(6, 19)
5
2