Segments and Congruence Postulates
In geometry, postulates are accepted rules without proof. Postulate 1 involves matching points on a line to numbers, while Postulate 2 states the Segment Addition property. Congruent segments have equal lengths, as shown in examples and equations using the Segment Addition Postulate.
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Presentation Transcript
CHAPTER 1-2 (SEGMENTS AND CONGRUENCE) What are What are postulates? postulates? A rule in geometry A rule in geometry that is accepted that is accepted without proof, it without proof, it is given. is given.
CHAPTER 1-2 (SEGMENTS AND CONGRUENCE) Postulate 1 Postulate 1: Ruler : Ruler Points on a line Points on a line can be matched can be matched to numbers to numbers (coordinates) (coordinates) Distance Distance between points between points can be written can be written as absolute as absolute value of distance value of distance between between coordinates coordinates
CHAPTER 1-2 (SEGMENTS AND CONGRUENCE) Example Example Measure the Measure the length of the line length of the line segment given segment given to you (in cm). to you (in cm). Have your Have your shoulder partner shoulder partner confirm confirm
CHAPTER 1-2 (SEGMENTS AND CONGRUENCE) Postulate 2 Postulate 2: : Segment Addition Segment Addition If B is between A If B is between A and C, then and C, then AB + BC = AC AB + BC = AC If AB + BC = AC, If AB + BC = AC, then B is then B is between A and C between A and C
CHAPTER 1-2 (SEGMENTS AND CONGRUENCE) Example Example
CHAPTER 1-2 (SEGMENTS AND CONGRUENCE) Example Example Use the Use the Segment Segment Addition Addition Postulate to Postulate to write an write an equation, then equation, then solve to find the solve to find the KL KL
CHAPTER 1-2 (SEGMENTS AND CONGRUENCE) Example Example
CHAPTER 1-2 (SEGMENTS AND CONGRUENCE) What are congruent What are congruent segments? segments? Line segments Line segments that have the that have the exact same exact same length. length. Lengths are Lengths are EQUAL (AB = CD) EQUAL (AB = CD) Segments are Segments are CONGRUENT (AB CONGRUENT (AB = CD) = CD) B A D C
CHAPTER 1-2 (SEGMENTS AND CONGRUENCE) Example Example
