SAS Congruence and Proofs

What is the "statement" for step 3 of the proof? 

• ∡EDA≅∡DCB
• ∡AED≅∡BEC
• DE=CE
• ∡AED≅∡CED

What is the "reason" for step 5 of the proof?

• Vertical Angle Theorem
• AAS
• def. of angle bisector
• CPCTC 

What is the "reason" for step 4 of the proof?

• proof
• AAS
  ≅ Thrm
• ASA
  ≅ Thrm
• SAS
  ≅ Thrm

What is the "reason" for step 4 of the proof?

• SAS
  ≅ theorem
• ASA
  ≅ theorem
• SSA
  ≅ theorem
• CPTCT
   theorem

What is the "statement" for step 3 of the proof?

• AD=DA
• AD=AD
• HD=ND
• HD=DN

Determine if the triangles are congruent, if "yes" state the theorem.

• yes, SAS
• not necessary congruent
• yes, ASA
• yes, AAS

What would be the correct "given" statements for this diagram?

• T is the midpoint of segment BG and
  ∡B≅∡G
• ∡B≅∡G and ∡A≅∡W
• T is the midpoint of segment BG and ∡A≅∡W
• T is the midpoint of segment AW and ∡A≅∡W

What would be the correct "given" statements for this diagram?

• ∡A≅∡C, and segment DB is the angle bisector of ∡CDA
• BD=BD, and DB=DB
• ∡A≅∡C, and segment DB is the angle bisector of ∡CBA
• ∡B≅∡D, segment DB is the angle bisector of ∡DCA.

Which of the following is not a valid reason to prove congruent triangles?

• SSA
• AAS
• SAS
• SSS

Congruent by

• SSS
• SAS
• ASA
• not necessary congruent