Exercise 6 Page 390

To find XZ, we should use the Segment Addition Postulate. This postulate tells us that, if we have a point between two points, we can add the lengths of the two smaller segments to find the length of the longer segment. In our case, Y is between X and Z, so we can get the length XZ by adding XY and YZ. XZ = XY + YZ From the diagram, we know that the length XY is 23 and the length YZ is 50. Now, we can use this to calculate XZ.

XZ=XY+YZ

SubstituteII

XY= 23, YZ= 50

XZ= 23+ 50

AddTerms

Add terms

XZ=73

The length XZ is 73.