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

 

 

  1. What do you suspect is true about the length of each leg of an isosceles triangle?  About each side of an equilateral triangle?

 

 

 

 

 

  1. What do you suspect is true about the measure of the angles of an isosceles triangle?  Of an equilateral triangle?

 

 

 

 

 

  1. 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.