Congruent Triangles Proofs

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

• A

• B

• C

• D

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

• proof

• AAS
  ≅ Thrm

• ASA
  ≅ Thrm

• SAS
  ≅ Thrm

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 SSS?

• A

• B

• C

• D

Use the reasons below to complete the proof.

e

f

g

h

angle addition

corresponding angles

def of angle bisector

SAS

given

def of segment bisector

Vertical angles

SSS

reflexive property

Name the postulate, if possible, that makes the triangles congruent.

• SAS

• ASA

• AAS

• Not Possible

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

• HM≌AT

• HM≌TA

• ∆MAH≅∆THA

• ∡MAH≅∡THA

Fill in the two missing steps in the proof.

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

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

• Reflexive Property, Vertical Angles Theorem

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

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