chapter 1-2 (segments and congruence)

9
What are postulates? A rule in geometry that is accepted without proof, it is given. CHAPTER 1-2 (SEGMENTS AND CONGRUENCE)

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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

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Page 1: 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)

Page 2: 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)

Page 3: 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)

Page 4: 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)

Page 5: Chapter 1-2 (Segments and Congruence)

Example

CHAPTER 1-2 (SEGMENTS AND CONGRUENCE)

Page 6: 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)

Page 7: Chapter 1-2 (Segments and Congruence)

Example

CHAPTER 1-2 (SEGMENTS AND CONGRUENCE)

Page 8: 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

Page 9: Chapter 1-2 (Segments and Congruence)

Example

CHAPTER 1-2 (SEGMENTS AND CONGRUENCE)