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

Tags

CCSS.HSG.SRT.B.5

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

• SAS

• AAA

• ASA

• AAS

Tags

CCSS.HSG.SRT.B.5

Which method would not prove the following triangles congruent?

• SSS

• SAS

• AAA

• AAS

• ASA

Tags

CCSS.HSG.SRT.B.5

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

ΔDEG ≅ ΔFEG?

• SSA

• ASA

• SSS

• HL

Tags

CCSS.HSG.SRT.B.5

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

• ∠G ≅ ∠P

• ∠H ≅ ∠M

• FG ≅ RP

• HG ≅ MP

Tags

CCSS.HSG.SRT.B.5

Which pair of triangles cannot be proved congruent?

• 
• 
• 
• 

Tags

CCSS.HSG.SRT.B.5

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

• E bisects AB and CD

• AC // DB

• AC ≅ DB

• ∠ACE ≅ ∠BDE

Tags

CCSS.HSG.SRT.B.5

What additional piece of information would prove

ΔABD ≅ ΔCBD?

• AB ≅ BC

• D is the midpoint of AC

• BD bisects ∠ABC

• AD ≅ BD

Tags

CCSS.HSG.SRT.B.5

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

• AC ≅ BD

• ∠ABC ≅ ∠DCB

• ∠BAC ≅ ∠CDB

• AB ≅ CD

Tags

CCSS.HSG.SRT.B.5

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

• SSS

• SAS

• ASA

• AAS

Tags

CCSS.HSG.SRT.B.5