 Partitioning Line Segments MathBitsNotebook.com  Directions:
Decide if these statements are TRUE or FALSE. Check your answer when finished.

Given: (with initial point A)

1. AP : PB = 3 : 2
 TRUE FALSE

2. AP : AB = 2 : 5
 TRUE FALSE

3. PB : AB = 2 : 5
 TRUE FALSE

4. BP : PA = 2 : 3
 TRUE FALSE

5. AB : AP = 5 : 3
 TRUE FALSE

Directions: Answer these questions pertaining to partitioning segments. Choose the best answer.

1.
A line segment partitioned by a ratio of 3:4 can be thought of as having ____ congruent sections. Choose:
 3 4 7 12

2.
On a number line, point C is located at -4 and point D is located at 6. At what point must P be located so that the directed line segment from C to D will be partitioned in a 2:3 ratio? Choose:
 -2 0 2 4

3.
Given with coordinates A(-4,5) and
B
(12,13). Find the horizontal distance and the vertical distance from A to B, stated in that order. Choose:
 16, 8 8, 16 8, 8 16, 18

4.
The coordinates of the endpoints of are A(-6,-5) and B(4,0). Point P is on . Determine the coordinates of point P such that AP:PB is 2:3.
Choose:
 (0, -2) (-4, -4) (2, -3) (-2, -3)

5.
Given a line segment from E to F. Point D lies on the segment 5/7 of EF from point E. What is the ratio ED:DF ? Choose:
 2 : 7 2 : 5 5 : 2 7 : 2

6.
Point P partitions directed segment in the ratio of 3:4.
If A(-9,-9) and B(5,-2), find the coordinates of P.
Choose:
 (-3,-7) (-3,-6) (-6,-6) (-4,-6)

7.
Given a directed segment from M to N as shown at the right. Find the coordinates of partition point P that divides the segment into a 5:2 ratio. Choose:    8.
Given directed segment such that A(5,0) and B(-3,-4). Find the coordinates of point P which partitions the segment in a ratio of 3:2. Choose:    9.
Given as shown at the right. Find the coordinates of partition point P that divides directed segment into a 1:3 ratio. Choose:
 (-2, 4) (4, 0) (2, 1) (1, 2)

10.
Given as shown at the right. Find the coordinates of partition point P that divides directed segment into a 3:1 ratio. Choose:
 (-4, -3) (0,-1) (6, 2) (4,1) 