3.5 Proofs of Congruent Triangles

What is the reason the two triangles are congruent? (Reason #4)

• SSS

• SAS

• ASA

• AAS

Which of the following are given statements?

• $\overline{AB}\cong\overline{DE}$

• $\overline{AC}\cong\overline{DF}$

• $\overline{BC}\cong\overline{EF}$

• $\angle A\cong\angle D$

What statement should go into #4?

• $\overline{LM}\cong\overline{OP}$

• $N\ is\ the\ midpoint\ of\ \overline{MO}$

• $\overline{MN}\cong\overline{ON}$

• $\overline{LN}\cong\overline{PN}$

Tags

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.CO.C.10

CCSS.HSG.SRT.B.5

Which segment is part of both triangles?

• $\overline{PR}$

• $\overline{QS}$

• $\overline{PS}$

• $\overline{QS}$

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

By your proof, what reason are the 2 triangles congruent?

• SAS

• ASA

• SSS

• AAS

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

Do you need anything beyond the given statements to prove the triangles congruent?

• Yes

• No

• Not Enough information

According to your proof, why are these two triangles congruent?

• SSS

• SAS

• ASA

• AAS

Which piece is part of both triangles?

• $\overline{BD}$

• $\angle C$

• $\overline{AD}$

• $\overline{BC}$

Which angles are vertical?

• $\angle B\ and\ \angle E$

• $\angle A\ and\ \angle D$

• $\angle BCA\ and\ \angle ECD$

• $\angle B,\ \angle D$

Tags

CCSS.HSG.CO.C.9

Why are the 2 triangles congruent?

• ASA

• SAS

• SSS

• AAS