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