Question

Using the segment addition postulate, which is true?

AB + BC = AD
AB + BC = CD
BC + CD = AD
BC + CD = BD

Answer 1

the answer is BC + CD = BD

Answer 2

Answer: The answer is (d) BC + CD = BD.

Step-by-step explanation: We are given the number line and four points A, B, C and D on the line with co-ordinate -6, -1, 2 and 8 respectively.

We are to select the correct statement out of the given four.

(a) L.H.S. = AB + BC = 5 + 3 = 8,

R.H.S = AD = 14 ≠ 8.

So, this option is incorrect.

(b) L.H.S. = AB + BC = 5 + 3 = 8,

R.H.S = CD = 6 ≠ 8.

So, this option is incorrect.

(c) L.H.S. = BC + CD = 3 + 6 = 9,

R.H.S = AD = 14 ≠ 9.

So, this option is incorrect.

(d) L.H.S. = BC + CD = 3 + 6 = 9,

R.H.S = BD = 9.

So, this option is correct.

Thus, the correct option is (d).