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Segment Addition
           Postulate

Victorino Gonzales Jr.   III - Osias
I. Objective
OTo know how Segment
Addition Postulate can
be form.
II. Mission
O To educate students how
 to write the Segment
 Addition Postulate.
III. Motivation
O   To Help students to learn
    how Segment Addition
    Postulate can be use.
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
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
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.
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
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?
Evaluation
O Answers:
1. 90
2. 140
3. 31
4. 126
5. 9

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Segment addition postulate

  • 1. Segment Addition Postulate Victorino Gonzales Jr. III - Osias
  • 2. I. Objective OTo know how Segment Addition Postulate can be form.
  • 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?
  • 10. Evaluation O Answers: 1. 90 2. 140 3. 31 4. 126 5. 9