Question

Using the segment addition postulate, which is true? A number line going from negative 9 to positive 9. A closed circle appears at negative 6 and is labeled A. A closed circle appears at negative 1 and is labeled B. A closed circle appears at positive 2 and is labeled C. A closed circle appears at positive 8 and is labeled D. AB + BC = AD AB + BC = CD BC + CD = AD BC + CD = BD

Answer 1

Given : A number line going from negative 9 to positive 9. A closed circle appears at negative 6 and is labeled A. A closed circle appears at negative 1 and is labeled B. A closed circle appears at positive 2 and is labeled C. A closed circle appears at positive 8 and is labeled D.

To Find :  Using the segment addition postulate, which is true?

AB + BC = AD

AB + BC = CD

BC + CD = AD

BC + CD = BD

Solution:

A  =  -6

B =  -1

C =  2

D  = 8  

AB + BC = AD  - FALSE

AB + AC  = AC  ≠ AD  

AB + BC = CD  - FALSE

AB + BC = AC  ≠ CD  

BC + CD = AD  - FALSE

BC + CD = BD  ≠ AD  

BC + CD = BD  - TRUE

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