Congruence Proofs

Are these triangles congruent? If so, state the rule which you used to determine congruence.

• Yes by ASA

• Yes by AAS

• Yes by SSA

• Not congruent

Identify the missing statement or reason

• Reflexive Property

• Definition of Midpoint

• Given

• Vertical Angles Theorem

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

• ∡EDA≅∡DCB

• ∡AED≅∡BEC

• DE=CE

• ∡AED≅∡CED

What is the justification?

• Symmetric Prop.

• Angle addition postulate

• Reflexive Prop

• Transitive Prop.

What is the "reason" for step 2 of the proof?

• Reflexive property

• They are congruent

• Congruent through the Side Angle Side Postulate

• Given

What is the "reason" for step 2 of the proof?

• reflexive property

• proof

• SAS
  ≅ thrm

• given

What are the 2 missing pieces of information?

• Transitive Property, SAS(Side-Angle-Side)

• Reflexive Property, SAS(Side-Angle-Side)

• Transitive Property, SSS(Side-Side-Side)

• Reflexive Property, SSS(Side-Side-Side)

What is the "statement" for step 2 of the proof?

• AD=AD

• AD=DA

• HD=DN

• HA = AN

What is reason #4?

• Reflexive Postulate

• Midpoint gives two congruent segments

• Vertical angles are congruent.

• Given

ΔAEB ≅ ΔCED by...

• SAS

• ASA

• AAS

• SSS