ASA, AAS, HL Triangle Congruency

by Amanda Cunniff

Multiple Choice

Which triangle congruence theorem can be used to prove the triangles are congruent?

• SAS
• SSS
• ASA
• HL

Multiple Choice

Which triangle congruence theorem can be used to prove the triangles are congruent?

• AAS
• SSS
• SAS
• SSA

Multiple Choice

Which congruency statement can be written for the triangles pictured?

• $$\Delta ACB\cong\Delta ABD$$

• $$\Delta BAC\cong\Delta BAD$$

• $$\Delta CAB\cong\Delta DBA$$

• $$\Delta ADB\cong\Delta BCA$$

Open Ended

Explain the term included angle and the term included side.

Open Ended

Why can we not use AAA as a reason for triangle congruency?

Multiple Choice

Which triangle congruence theorem can be used to prove the triangles are congruent?

• ASA

• AAS

• HL

• N/A

Multiple Choice

Which triangle congruence theorem can be used to prove the triangles are congruent?

• ASA

• AAS

• HL

• N/A

Multiple Choice

Which triangle congruence theorem can be used to prove the triangles are congruent?

• AAS

• ASA

• HL

• N/A

Multiple Choice

Which triangle congruence theorem can be used to prove the triangles are congruent?

• ASA

• AAS

• HL

• N/A

Multiple Choice

Which triangle congruence theorem can be used to prove the triangles are congruent?

• ASA

• AAS

• HL

• N/A

Multiple Choice

Which triangle congruence theorem can be used to prove the triangles are congruent?

• ASA

• AAS

• HL

• N/A

Multiple Choice

Which triangle congruence theorem can be used to prove the triangles are congruent?

• ASA

• AAS

• HL

• N/A

Multiple Choice

Which triangle congruence theorem can be used to prove the triangles are congruent?

• ASA

• AAS

• HL

• N/A

Multiple Choice

Which of the following ONLY proves congruence for right triangles?

• AAS

• ASA

• HL

• SAS

Multiple Choice

• ASA and AAS use 2 different pairs of angles
• ASA uses the included side, but AAS uses the non-included side
• ASA uses the non-included side, but AAS uses the included side
• ASA and AAS use different pairs of sides

Multiple Choice

• Congruent by ASA
• Congruent by SAS
• Congruent by SSS
• Not Necessarily Congruent

Multiple Choice

• Not Necessarily Congruent

• Congruent by SAS

• Congruent by SSS

Multiple Choice

Are the two triangles congruent? If they are, select the correct congruence postulate. If there is not enough information, select N/A.

• SSS

• AAS

• ASA

• N/A

Multiple Choice

Which additional piece of information would be needed to prove the triangles congruent using ASA?

• m<A = m<F

• AB = FE

• m<C = m<D

• AC = FD

Multiple Choice

What additional information is needed to prove the two triangles are congruent by ASA?

• $$\overline{KN}\ \cong\overline{QM}$$

• $$\angle N\ \cong\angle M$$

• $$\overline{LN}\ \cong\ \overline{PM}$$

• $$\angle L\ \cong\ \angle P$$

Multiple Choice

What additional information is needed to prove the two triangles are congruent by AAS?

• $$\angle B\ \cong\ \angle K$$

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

• $$\angle A\ \cong\ \angle L$$

• $$\overline{BC}\ \cong\ \overline{KM}$$

Multiple Choice

State what additional information is required in order to know that the triangles are congruent for the reason given.

• $$\overline{AC}\cong\overline{QC}$$

• $$\angle CBA\cong\angle CBQ$$

• $$\overline{BQ}\cong\overline{BA}$$

• $$\angle A\cong\angle Q$$

Multiple Choice

Which additional information will prove the triangles congruent by HL?

• GH≅SR
• FG≅RT
• FH≅ST
• GH≅ST

Poll

How ready are you to do your assignment on ASA, AAS, and HL

• So ready!

• I'm pretty good, but I need practice.

• I'm hesitant but ready to try.

• I'm lost!