Here is some conventional terminology about isosceles and
equilateral triangles you need to be familiar with:
 

 
 - What
     do you suspect is true about the length of each leg of an isosceles
     triangle?  About each side of
     an equilateral triangle?
 
 
 
 
 
 - What
     do you suspect is true about the measure of the angles of an isosceles
     triangle?  Of an equilateral
     triangle?
 
 
 
 
 
 - Suppose
     I construct the angle bisector of the vertex angle.  What do you suspect is true about
     the relationship of the bisector and itŐs intersection point with the
     base?  
 
 
 
 4.  

 
 
 
 
 
 
 
 
5.  
 
