This document discusses the concept of betweenness for collinear points on a number line. It provides examples of determining which point is between two other points given distances between points. It also includes practice problems identifying betweenness based on given segment measures between collinear points.

1. Lesson6:

3. Given two distinct points, how
many lines can be drawn?
A
C

4.  Show a number line as given:
 Give the coordinate of points

5.  The concept of betweeness is applied to
points and segments, since a segment is
determine by two (2) points.
 Point B is between points A and C, while point
D is not between points A and C. Point A, B,
and C are collinear, since they lie on the same
line.
 Betweeness refers only to collinear points.
D
A B C

6. Point B is between points A and C if
and only if B, A and C are collinear
and .
 Addition Postulate: If B is between A
and C, then

7. Points A, B and C are
collinear. If AB = 12, BC = 47
and AC = 35, determine
which point is between the
other two.

8. Points A, B and C are collinear. If AB = 12, BC = 47 and AC = 35,
determine which point is between the other two.
Check to which two measures add to equal the third
12 + 35 = 47
 A is between B and C.

9. P Q R S
If QS = 29, QT = 52, find ST
P Q R S T

10. If QS = 29, QT = 52, find ST
P Q R S T
If QS = 29 and QT = 52 find ST
QS + ST = QT
29 + ST = 52
ST = 52 – 29
ST = 23

11. Tell which point is between the other two
1. DE + EF = DF
2. BY –OY = BO
3. MN – NL = LM
4. RQ = QS – RS
5. JH + HI = IJ
6. MQ – ML = LQ
E
O
L
R
H
L

12. Point K is between J and M. L is between K
and M. M is between K and N.
If JN = 14, KM = 4 and JK = KL = LM, Find:
1. JK
2. LJ
3. MJ
4. MN
5. KN
6. NL
2
4
6
8
12
10

13. Betweeness refers only
to collinear points.

14. Three segment measures are given. The 3
points named are collinear. Determine which
point is between the other 2
1. AD = 25
ED = 33
AE = 58
2. RS = 45
TS = 19
RT = 26
D
T
G
P
3. GH = 44
HK = 87
GK = 43
4. PQ = 34
QR = 71
PR = 37
C5. AB = 32
BC = 13.8
AC = 18.2

15. Connecting Skills: Transportation
On a train line three towns are
represented by collinear points A, B
and C. Town A is 45 miles North of
B and C is 10 miles point of A.
Which town is between the other
two?