#5.6 Proving Triangle Congruence by ASA and AAS

Are the two triangles congruent?

• Yes, by AAS

• Yes, by ASA

• Yes, by SSS

• No, they are not congruent

Are the two triangles congruent?

• Yes, by AAS

• Yes, by ASA

• Yes, by SAS

• No, they are not congruent

Are the two triangles congruent?

• Yes, by AAS

• Yes, by ASA

• Yes, by SAS

• No, they are not congruent

Are the two triangles congruent?

• Yes, by AAS

• Yes, by ASA

• Yes, by SAS

• No, they are not congruent

Which one is NOT a valid congruence theorem?

• SSS

• ASA

• AAS

• SSA

Which congruence theorem is demonstrated in this image?

• SSS

• ASA

• AAS

• SAS

Given $\overline{BD}$  bisects  $\overline{AE}$  what conclusion can you make?

•  $\overline{AC}\cong\overline{CE}$  

•  $\overline{AB}\cong\overline{ED}$  

•  $<ACB\cong<ECD$  

•  $<ABD\cong<DEA$  

What other information do you need to prove that $\Delta TVU\cong\Delta SVR$  by the AAS theorem?

•  $<RVS\cong<UVT$  

•  $<VRS\cong<VUT$  

•  $\overline{UT}\cong\overline{RS}$  

•  $\overline{UV}\cong\overline{RV}$  

Are the two triangles congruent?

• Yes, by AAS

• Yes, by ASA

• Yes, by SAS

• No, they are not congruent

Complete reason 2.

• Alternate Interior Angles Theorem

• Vertical Angles Theorem

• ASA Congruence Theorem

• Corresponding Angles Theorem