1. The
Segment Addition
Postulate
Section 1-3

2. First, draw points A and C.
A C

3. Now, draw point B between
points A and C.
B
A B C
B
In geometry, if a point is between two
others, then the three points are collinear.

4. Segment Addition Postulate (SAP):
If B is between A and C, then
A B C
AB + BC = AC

5. Now for some Guided Practice
In the figure below, ST bisects RV. Solve for x.
R 1. FR = 56, VF = 7x + 7
T
F
S
V

6. Guided Practice
In the figure below, ST bisects RV. Solve for x.
R 2. RF = 5x + 12, VF = 8x – 10
T
F
S
V

7. Guided Practice
In the figure below, ST bisects RV. Solve for x.
R 3. FS = 12x + 5, TF = 18x – 11,
ST = 84
T
F
S
V

8. Guided Practice
In the figure below, ST bisects RV. Solve for x.
R 2
4. VF = x + 5x, RF = 7x + 8
T
F
S
V