SOLUTION: AC is the perpendicular bisector of ZB. What can you predict about AZ and AB?

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Question 905090: AC is the perpendicular bisector of ZB. What can you predict about AZ and AB?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let D be the intersection point between segment AC and segment ZB.

* ZD = ZB (definition of perpendicular bisector)
* Angle ADZ = angle ADB because both are right angles (definition of perpendicular bisector)
* AD = AD (reflexive property).


Using those 3 statements above, you can prove using the SAS postulate that triangle ADZ = triangle ADB

Then the CPCTC property allows us to arrive at the conclusion that AZ = AB

So, AZ and AB are the same length.