Segment addition postulate
Download as PPTX, PDF0 likes1,503 views
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.
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