The** segment addition postulate **is a fairly obvious-seeming postulate which states that:

If a point *B* lies on a line segment *$\overline{AC}$*, then $AB+BC=AC$.

That is, the distance from one endpoint to the other is the sum of the distances from the middle point to either endpoint.

**Example:**

Find the length $XY$ in the figure shown.

By the Segment Addition Postulate, $XY+YZ=XZ$.

Substitute the given values.

$XY+11=17$

Solve for $XY$.

$XY=6$