Congruent Triangle Proof Methods

Which additional piece of information is needed to prove the triangles congruent by SAS?

• AB ≅ CD

• BE ≅ CE

• ∠A ≅ ∠D

• ∠CED ≅ ∠BEA

If you know that AH bisects ∠MHT, what method would prove ΔMAH ≅ ΔTAH?

• SAS

• AAA

• ASA

• AAS

Which method would not prove the following triangles congruent?

• SSS

• SAS

• AAA

• AAS

• ASA

EG bisects DF; DE ≅ FE. What method will prove

ΔDEG ≅ ΔFEG?

• SSA

• ASA

• SSS

• HL

What additional information is needed to prove the triangles congruent by ASA?

• ∠G ≅ ∠P

• ∠H ≅ ∠M

• FG ≅ RP

• HG ≅ MP

Which pair of triangles cannot be proved congruent?

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What piece of information would prove ΔACE ≅ ΔBDE by Side-Angle-Side?

• E bisects AB and CD

• AC // DB

• AC ≅ DB

• ∠ACE ≅ ∠BDE

What additional piece of information would prove

ΔABD ≅ ΔCBD?

• AB ≅ BC

• D is the midpoint of AC

• BD bisects ∠ABC

• AD ≅ BD

What additional information is required to prove ΔABC ≅ ΔDCB by Hypotenuse-Leg?

• AC ≅ BD

• ∠ABC ≅ ∠DCB

• ∠BAC ≅ ∠CDB

• AB ≅ CD

If L is the midpoint of KN and MP, which method can be used to prove the triangles are congruent?

• SSS

• SAS

• ASA

• AAS