Using the segment addition postulate, which is true?
742
O AB + BC = AD
OAB + BC = CD
O BC + CD = AD
O BC + CD = BD
A
B
++
-9-8-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4
C
5
D
6 7 8 9

Respuesta :

Using the segment addition postulate, the true statement is BC + CD = BD.

According to the segment addition postulate, a third point B will only be located on the line segment AC if and only if the equation AB + BC = AC is true for a line segment with two endpoints, A and C.

In the question, we are asked to identify the true statement using the segment addition postulate.

  • AB + BC = AD. AB + BC gives AC and not AD, which implies that the statement is false.
  • AB + BC = CD. AB + BC gives AC and not CD, which implies that the statement is false.
  • BC + CD = AD. BC + CD gives BD and not AD, which implies that the statement is false.
  • BC + CD = BD. BC + CD gives BD, which implies that the statement is true.

Thus, using the segment addition postulate, the true statement is BC + CD = BD.

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