Triangle Congruence Proofs

What is the reason for the statement shown?

• Definition of Midpoint

• SSS

• Given

• CPCTC

Tags

CCSS.HSG.SRT.B.5

What is the correct reason for statement 2?

• Definition of Midpoint

• Reflexive Property of Congruence

• SAS

• Vertical Angles Theorem

Tags

CCSS.HSG.SRT.B.5

 $Why\ would\ \overline{MK}\cong\overline{KM}$ ?

• Vertical Angles Theorem

• Reflexive Property of Congruence

• Alternate Interior Angles Theorem

• Definition of Midpoint

Tags

CCSS.HSG.SRT.B.5

Why would $\angle ACB\cong\angle DCE$  

• AAS

• Definition of Midpoint

• Vertical Angles Theorem

• Definition of Parallel Lines

Tags

CCSS.HSG.SRT.B.5

 $Why\ would\ \angle D\cong\angle E?$  

• Vertical Angles Theorem

• Alternate Interior Angles Theorem

• Definition of Parallel Lines

• Corresponding Angles Postulate

Tags

CCSS.8.G.A.5

By what theorem are these two triangles congruent?

• SSS

• AAS

• SSA

• SAS

• ASA

Tags

CCSS.HSG.SRT.B.5

These two triangles are congruent by what theorem?

• SAS

• ASA

• HL

• SSS

Tags

CCSS.HSG.SRT.B.5

These two triangles are congruent by what theorem?

• ASA

• AAS

• HL

• SAS

Tags

CCSS.HSG.SRT.B.5

These two triangles are congruent by what theorem?

• NOT CONGRUENT

• AAS

• SAS

• ASA

Tags

CCSS.HSG.SRT.B.5

 $Given\ \angle P\cong\angle R\ and\ \overline{FP}\cong\overline{WR},$  what must be congruent for the triangles to be congruent by ASA? 

•  $\angle F\cong\angle W$  

•  $\overline{PT}\cong\overline{RK}$  

•  $\angle K\cong\angle T$  

•  $\overline{FT}\cong\overline{WK}$  

Tags

CCSS.HSG.SRT.B.5