Proving Triangles Congruent

How do you know the following statement is true?

 $\angle A\cong\angle C$  

• Third Angle Theorem

• Corresponding Angles Theorem

• Alternate Interior Angles Theorem

• Vertical Angle Theorem

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

• ASA
• AAS
• SAS
• Cannot be proven congruent

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

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

• ASA
• AAS
• SAS
• Cannot be proven congruent

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

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

• ASA
• AAS
• SAS
• Cannot be proven congruent

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

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

• ASA
• AAS
• SAS
• Cannot be proven congruent

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

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

• ASA
• Cannot be proven congruent
• SAS
• SSS

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

What missing piece of information is needed to prove the triangles congruent using SAS?

• ∠F≅∠Q
• ∠G≅∠R
• ∠H≅∠S
• FH = QS

Tags

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

What missing piece of information is needed to prove the triangles congruent using ASA?

• GC = CD
• CE = CD
• ∠GCE≅∠BCE
• BD = GE

Tags

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

What missing piece of information is needed to prove the triangles congruent using SAS?

• NM = AM
• NL = CA
• ∠M≅∠B
• ∠N≅∠C

Tags

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

Including Vertical Angles are Congruent, state whether the triangles are congruent and why.

• yes, AAS

• yes, SAS

• yes, ASA

• no, not enough information

Tags

CCSS.HSG.SRT.B.5