5.6 ASA and AAS Congruence

5.6 ASA and AAS Congruence

by Mary Lett

​Objective and Standards

• ​Students will be able to prove triangle congruence using ASA and AAS.

• HSG-CO.B.8​

Multiple Choice

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

• ASA
• SSA

• SSS
• SAS

Multiple Choice

What are the five ways to prove triangles are congruent?

• SSS, ASA, AAS, SAS, HL
• SSS, SSA, HL, AAS, SAS
• SAS, SSA, HL, AAS, SSS
• HL, SAS, SSA, SSS, ASA

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

Name the theorem, if possible, that makes the triangles congruent.

• SAS
• ASA
• AAS
• Not Possible

Multiple Choice

Congruent by

• SSS
• SAS
• ASA
• AAS

Multiple Select

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

• ASA

• SSA

• SAS

• N/A

Multiple Choice

Name the theorem, if possible, that makes the triangles congruent.

• SAS
• ASA
• AAS
• Not Possible

Multiple Choice

Name the theorem, if possible, that makes the triangles congruent.

• SSS
• SAS
• ASA
• AAS

Multiple Choice

What is always the 1st statement in the reason column of a proof?

• Prove
• Given
• Reason
• Statement

Multiple Choice

What would be the correct "given" statements for this diagram?

• T is the midpoint of segment BG and
  ∡B≅∡G
• ∡B≅∡G and ∡A≅∡W
• T is the midpoint of segment BG and ∡A≅∡W
• T is the midpoint of segment AW and ∡A≅∡W

Multiple Choice

Fill in the blank.

• Given
• Reflexive Property
• Transitive Property
• They're the same side!!!!!! 

Multiple Choice

Fill in the missing proofs.

• Transitive Property, SAS(Side-Angle-Side)
• Reflexive Property, SAS(Side-Angle-Side)
• Reflexive Property, Vertical Angles Thm.
• Transitive Property, SSS(Side-Side-Side)