1.     Given angle DEF, construct all the points that are equidistant from its sides.

 

 

a. My strategy will be:

 

 

 

 

 

 

 

 

b.  NOW constructÉ

 

 

 

 

 

 

c.     I think this construction gives all the points that are equidistant from  and  because:

 

 

 

 

 

 

 

 

2.     Kaylee Garcia excels in her math classes, goes to college, and becomes a wealthy businesswoman.  She wants to build a concrete factory so that it is equidistant from three major highways.  (See the map below.)  Find where on this map Kaylee should locate her concrete factory. 

 

a.     My strategy will be:

 

 

 

 

 

b.     NOW construct:

 

 

 

c.     I think the point I constructed is in the right place because: