Proving Triangles Congruent

4-5A HG ASA, AAS, HL

Multiple Choice

Which of the following ONLY proves congruence for right triangles?

• AAS

• ASA

• HL

• SAS

Multiple Choice

Which of the following cannot be used to prove triangles congruent?

• HL

• AAA

• SSS

• SAS

Multiple Choice

When using hypotenuse leg (HL) in a proof, you must first state ...

• CPCTC.
• there are right triangles.
• that vertical angles are congruent.
• the reflexive property.

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?

• AAS

• ASA

• HL

• N/A

Multiple Choice

Fill in the two missing reasons. 

• Reflexive Property ; ASA
• Reflexive Property ; SAS
• Symmetric Property ; ASA
• Symmetric Property ; SAS

Multiple Choice

What is the "statement" for step 2 of the proof?

• $$∆BAC\ ≅\ ∆DAC$$

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

• $$\angle B\ \cong\ \angle D$$

• $$\angle BAC\ \cong\ \angle DAC$$

Multiple Choice

What is the "reason" for step 3 of the proof?

• Given

• Def. Bisector

• Reflex Prop  $$\cong$$  

• AIA

Multiple Choice

What is the "statement" for step 3 of the proof?

• $$\angle EDA\ \cong\ \angle DCB$$

• $$\angle AED\ \cong\ \angle BEC$$

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

• $$\angle AED\ \cong\ \angle CED$$

Multiple Choice

What is the "reason" for step 4 of the proof?

• Given

• ASA

• AAS

• HL

Multiple Choice

What is the "statement" for step 2 of the proof?

• $$\overline{AD}\ \cong\ \overline{AD}$$
  

• $$\overline{AD}\ \cong\ \overline{DA}$$

• $$\overline{HD}\ \cong\ \overline{ND}$$  

• $$\overline{HA}\ \cong\ \overline{AN}$$

Multiple Choice

What is the "statement" for step 3 of the proof?

• $$\overline{AD}\ \cong\ \overline{AD}$$
  

• $$\overline{AD}\ \cong\ \overline{DA}$$

• $$\overline{HD}\ \cong\ \overline{DN}$$

• $$\overline{HA}\ \cong\ \overline{AN}$$

Multiple Choice

What is the "reason" for step 4 of the proof?

• ASA

• SAS

• AAS

• HL

#1 Practice on your paper!

Draw the diagram. Copy the Given and Prove statements. Mark and label all information on your diagram to plan the proof. You will take a picture of this to add to a slide when you finish.

#2 Practice on your paper!

Draw the diagram. Copy the Given and Prove statements. Mark and label all information on your diagram to plan the proof. You will take a picture of this to add to a slide when you finish.

#3 Practice on your paper!

Draw the diagram. Copy the Given and Prove statements. Mark and label all information on your diagram to plan the proof. Then complete the table. You will take a picture of this to add to a slide when you finish.

#4 Practice on your paper!

Draw the diagram. Copy the Given and Prove statements. Mark and label all information on your diagram to plan the proof. Then complete the table. You will take a picture of this to add to a slide when you finish.

#5 Practice on your paper!

Draw the diagram. Copy the Given and Prove statements. Mark and label all information on your diagram to plan the proof. Then complete the table. You will take a picture of this to add to a slide when you finish.