Congruence Theorems

How can we show that triangle CBU is congruent to triangle LUB? (Hint: Use the information given and the reflexive POE.)

• SSS

• SAS

• ASA

• AAS

• There is not enough information given to prove that the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Are the following triangles congruent? If so, how do you know?

• Yes, SSS

• Yes, SAS

• Yes, SSA

• Yes, HL

• No, SSA does not prove that triangles are congruent

Tags

CCSS.HSG.SRT.B.5

How would you name the triangle that is congruent to triangle CBA?

• Triangle XYZ

• Triangle ZYX

• Triangle YZX

• Triangle YXZ

Tags

CCSS.HSG.CO.B.7

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

• ∡EDA≅∡DCB

• ∡AED≅∡BEC

• DE=CE

• ∡AED≅∡CED

Tags

CCSS.HSG.SRT.B.5

• A
• B
• C
• D

Tags

CCSS.HSG.CO.C.9

• A
• B
• C
• D

Tags

CCSS.HSG.SRT.B.5

What is the correct choice for Reason 4?

• ⊿GHI ≅ ⊿JKL

• ⊿GHI ≅ ⊿KLJ

• ⊿GHI ≅ ⊿LJK

• ⊿GHI ≅ ⊿LKJ

Tags

CCSS.HSG.CO.B.7

If DA bisects IE, then

• ID=ED

• IA=EA

• <IDA=<EDA

• <IAD and <EAD are right angles

Tags

CCSS.HSG.CO.C.9

PICK THE CORRECT CONGRUENCE STATEMENT

• ∆TUV ≅ ∆EUV

• ∆VUT ≅ ∆UVE

• ∆TUV ≅ ∆UEV

• ∆UTV ≅ ∆EUV

Tags

CCSS.HSG.SRT.B.5

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

• ASA

• AAS

• SAS

• Cannot be proven congruent

Tags

CCSS.HSG.SRT.B.5