Basic Triangle Congruence Proofs

You are trying to prove triangles A and B congruent. In the Given Statement, you were told that Triangle C and D are congruent. What is the reason you would mark the blue single and blue double marked line segments congruent?

• Corresponding Parts of Congruent Triangles are Congruent.

  (CPCTC)

• Definition of Midpoint

• Congruent Transversal Line Segment Postulate

• Definition of Perpendicular Lines

• Segment Addition Postulate

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

• ∡EDA≅∡DCB

• ∡AED≅∡BEC

• DE=CE

• ∡AED≅∡CED

• A
• B
• C
• D

• A
• B
• C
• D

• A
• B
• C
• D

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

• ∆BAC≅∆DAC

• BC=DC

• ∡B≅∡D

• ∡BAC≅∡DAC

Identify the missing statement or reason

• Reflexive Property

• Definition of Midpoint

• Given

• Vertical Angles Theorem

Identify the  missing statement or reason

• Given

• Vertical Angles Theorem

• Definition of Angle Bisector

• Alternate Interior Angles Theorem

Identify the  missing statement or reason

• Definition of Angle Bisector

• Alternate Interior Angles Theorem

• Reflexive Property

• Definition of Midpoint

What is the correct choice for Reason 4?

• SSS

• SAS

• ASA

• AAS