Segment Addition PostulateVictorino Gonzales Jr. III - Osias
I. ObjectiveOTo know how SegmentAddition Postulate canbe form.
II. MissionO To educate students how to write the Segment Addition Postulate.
III. MotivationO 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
ExampleO 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.
ActivityO Find the length of JL if JK = 10 and KL = 60 Ans : 70O Find the length of SU if ST = 40 and TU = 75 Ans : 115O Find the length of AC if AB = 30 and BC = 90 Ans: 120
EvaluationO 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?