1. The document discusses the segment addition postulate, which states that if point B lies between points A and C on a line segment, then the length of AB + BC equals the length of AC.
2. Examples are provided to demonstrate using the postulate to find the length of a line segment by adding the lengths of two adjacent segments.
3. An activity section provides additional practice problems for students to solve using the segment addition postulate.
3. II. Mission
O To educate students how
to write the Segment
Addition Postulate.
4. III. Motivation
O To Help students to learn
how Segment Addition
Postulate can be use.
5. Segment Addition Postulate
O Segment addition postulate states that if B
is between A and C, then AB + BC = AC.
If a point B lies on a line segment
, then
6. Example
O Find the length of DG and EG if DE = 20, EF
= 30 and FG = 40
Solution:
Finding DG
DG = 20 + 30 + 40 = 90
Finding EG
EF = 30 + 40 = 70
7. O The Segment Addition Postulate is
often used in geometric proofs to
designate an arbitrary point on a
segment. By choosing a point on the
segment that has a certain
relationship to other geometric
figures, one can usually facilitate the
completion of the proof in question.
8. Activity
O Find the length of JL if JK = 10 and KL = 60
Ans : 70
O Find the length of SU if ST = 40 and TU = 75
Ans : 115
O Find the length of AC if AB = 30 and BC = 90
Ans: 120
9. Evaluation
O 1. What is the length of MO if MN = 65 and NO =
25?
O 2. What is the length of RT if RS = 75 and ST =
65?
O 3. What is the length of XZ if XY = 16 and YZ =
15?
O 4. What is the length of OQ if OP = 92 and PQ =
34?
O 5. What is the length of TV if TU = 5 and UV = 4?