NO, it will not freeze.
You fix it
Home freeze sensor alarms will call you if the temperature at your house drops or the power fails. Your pipes can burst if it gets cold enough which will cause some major water damage inside and outside your house.
Water expands when it freezes. If water pipes are allowed to freeze then the pressure of the expanding ice inside them will fracture the pipes. Then when the temperature rises so that the ice melts, the pipes will leak - with resulting damage.
32 degrees just like everything else.
Because of the freezing temperature increases pressure in the pipe causing it to burst.
The benefit of obtaining a freeze alarm would be that it will notify you when your pipes freeze or a leak occurs so that a person could prevent flooding of their home. It is good to have a freeze alarm when a person is gone on vacation for an extended period of time as it will alert them if the pipes freeze.
The minimum it can be set is 45 degrees F. You think the engineers would design it to allow pipes to freeze? Maybe they would if they did not do well in college.
if water freezes in pipes it will break the pipes, literally.
Because if they freeze they may burst, then you will have a mess and no water.
form_title= Pipe Insulation form_header= Don't let your pipes freeze. Get them insulated. Do your pipes often freeze?*= () Yes () No Do your pipes leak?*= () Yes () No When were your pipes installed?*= _ 
Internal pipes in a heated house should not freeze. External pipes need to be well insulated from the cold, or they are likely to freeze.