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