Conditons for Triangle Congruence

To prove Triangle Similarity:

To prove Triangle Congruence:

How can we prove triangles must be congruent?

● Which of the following conditions assure

congruence?

● Which of the following conditions DO NOT assure

congruence?

Triangles are congruent. SSS~ and side ratio = 1

Triangles are congruent. With a2+b2=c2, SSS~ and side
ratio = 1

Not enough information to prove congruence.
AA~ but NO side ratio of 1

Triangles are congruent. AA~ and side ratio = 1

Not enough information to prove congruence.
Cannot prove the triangles are similar.

Triangles are congruent. AA~ and side ratio = 1