Congruence Theorems

Congruent figures...

• Have the same dimensions (side lengths and angle measures)

• Are the same shape and size

• Can be mapped onto one another using rigid motions

• All of the above

Which of the following are NOT sufficient to prove two triangles are congruent? Choose all that apply.

• SSS

• AAA

• ASA

• SSA

• AAS

Are the following triangles congruent? If so, how do you know?

• Yes, SSS

• Yes, SAS

• Yes, ASA

• Yes, AAS

• No, insufficient information given

How would you name the triangle congruent to triangle ABC?

• Triangle FMN

• Triangle NMF

• Triangle MNF

• Triangle MFN

Are the following triangles congruent? If so, how do you know?

• Yes, SSS

• Yes, SAS

• Yes, ASA

• Yes, AAS

• No, not enough information given

How would you name the triangle that is congruent to triangle XYZ?

• Triangle WXZ

• Triangle ZWX

• Triangle XWZ

• Triangle XZW

Are the following triangles congruent? If so, how do you know?

• Yes, SSS

• Yes, SAS

• Yes, ASA

• Yes, AAS

• No, not enough information given

How would you name the triangle that is congruent to triangle FUN?

• Triangle ANM

• Triangle AMN

• Triangle MNA

• Triangle MAN

Are the following triangles congruent? If so, how do you know?

• Yes, SSS

• Yes, SAS

• Yes, ASA

• Yes, AAS

• No, not enough information provided

Are the following triangles congruent? If so, how do you know?

• Yes, SSS

• Yes, SAS

• Yes, SSA

• Yes, HL

• No, SSA does not prove that triangles are congruent