Asked by jay
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
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BC + CD = BD
Reason: The points in order are A(-6), B(-1), C(2), D(8). Distances: AB = 5, BC = 3, CD = 6, BD = 9, AD = 14. By the segment-addition postulate, BC + CD = 3 + 6 = 9 = BD.
Reason: The points in order are A(-6), B(-1), C(2), D(8). Distances: AB = 5, BC = 3, CD = 6, BD = 9, AD = 14. By the segment-addition postulate, BC + CD = 3 + 6 = 9 = BD.
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