Proving Triangles Congruent

Using the fact that Vertical Angles are congruent, state whether the triangles are congruent and why.

• yes, ASA

• yes, AAS

• yes, SAS

• Not congruent, not enough information.

Tags

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.CO.C.9

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.CO.C.10

CCSS.HSG.SRT.B.5

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?

• ∠F≅∠Q
• ∠G≅∠R
• ∠H≅∠S
• FH = QS

Tags

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

Which of the following is not a triangle congruence theorem?

• SAS

• ASA

• AAS

• SSA

Tags

CCSS.HSG.CO.B.8

Looking at the given information in the figure, what additional reasoning would you most likely use before you prove the triangles congruent?

• Reflexive Property

• Vertical Angles

• Definition of Midpoint

• Def. Bisector

• Def. Perpendicular

Tags

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.CO.C.10

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.CO.C.10

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

CCSS.HSG.SRT.B.5