ASA,AAS,SSS,SAS

This is ASA because of the following:

• 
  
  Angles FDE and ACB are congruent angles.
• 
  
  Lines ED and BC are congruent sides
• 
  
  Angles ABC and FED are congruent angles

This is AAS because of the following:

• 
  
  Angles ACB and FDE are congruent angles.
• 
  
  Angles ABC and FED are congruent angles also.
• 
  
  Lines AB and FE are congruent sides.  

This is SSS because of the following:

• 
  
  Lines AB and FE are congruent sides.
• 
  
  Lines BC and ED are congruent sides.
• 
  
  Lines CA and DF are congruent sides also.

This is SAS because of the following:

• 
  
  Lines AB and FE are congruent sides.
• 
  
  Angles ABC and FED are congruent angles.
• 
  
  Lines BC and ED are congruent sides.