Proofs of Congruent Triangles

What is Reason?

• Alternate Interior Angles are congruent when formed by parallel lines

• Vertical Angles are congruent

• Reflexive Property

• Definition of Angle Bisector

What is Statement?

• All of correct

• SP ≌ SP

• PS ≌ SP

• PS ≌ PS

Can the triangles be proven congruent?  If so, how?

• ASA

• AAS

• SAS

• Cannot be proven congruent

Can the triangles be proven congruent?  If so, how?

• ASA

• AAS

• SAS

• Cannot be proven congruent

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

Which of the following is a correct statement and reason for the proof shown?

What is Reason C?

• SSS Congruence

• SAS Congruence

• ASA Congruence

• AAS Congruence

• HL Congruence

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

• A
• B
• C
• D