Overlapping Triangles Proofs

Name the side or angle that is overlapping.

• UX

• UV

• VW

• XW

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

• proof

• AAS
  ≅ Thrm

• ASA
  ≅ Thrm

• SAS
  ≅ Thrm

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

• ASA

• Cannot be proven congruent

• SAS

• SSS

Why are these 2 triangles congruent according to your proof?

• ASA

• SAS

• SSS

• Cannot be determined

What additional information is required for the 2 triangles to be congruent by SAS?

• A

• B

• C

• D

Identify the  missing statement or reason

• Given

• Vertical Angles Theorem

• Definition of Angle Bisector

• Alternate Interior Angles Theorem

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

• AD=DA

• AD=AD

• HD=ND

• HD=DN

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 triangle congruence criteria is shown in the given diagram?

• AAS

• ASA

• SSA

• SAS

Are the triangles congruent, if yes, why?

• SSS

• SAS

• ASA

• Not Congruent