Question

using the segment addition postulate, which is true?
a
b
c
d
-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9
ab + bc = ad
ab + bc = cd
bc + cd = ad
bc + cd = bd

Explanation:

Step1: Recall segment - addition postulate

The segment - addition postulate states that if we have three collinear points \(X\), \(Y\), and \(Z\), then \(XY + YZ=XZ\).

Step2: Analyze the given points

For points \(B\), \(C\), and \(D\) on the number - line, by the segment - addition postulate, the length of segment \(BD\) is the sum of the lengths of segments \(BC\) and \(CD\).

Answer:

D. \(BC + CD=BD\)