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
Answers
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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