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.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

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.SRT.B.5

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.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

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

• ASA
• AAS
• SAS
• Cannot be proven congruent

Tags

CCSS.HSG.SRT.B.5

Name the postulate, if possible, that makes the triangles congruent.

• SSS
• SAS
• AAS
• Not enough information

Tags

CCSS.HSG.SRT.B.5

What is statement #1?

• BC≅DC
• AC≅EC
• BC≅DC, AC≅EC
• ∆BCA≅∆DCE

Tags

CCSS.HSG.SRT.B.5

What is statement #2?

• ∠ABC≅∠EDC
• ∠BCA≅∠DCE
• BC≅CD
• ∠E≅∠A

Tags

CCSS.HSG.SRT.B.5

What is reason #3?

• SAS
• ASA
• SSS
• AAS

Tags

CCSS.HSG.SRT.B.5