4.3+Proving+Triangles+Congruent+SSS,+SAS

=__4.3- Proving Triangles Congruent: SSS and SAS Postulates__= This section allows us to prove two triangles congruent using a minimum of three sides or angles. These triangle congruence "shortcuts" can be used in proofs to determine triangles congruent, or by themselves to state that two triangles are congruent.

Vocab:
congruent- identical or the same. postulate- a fact or truth that does not need to be proved because it is used for reasoning.

**Side Side Side (SSS) Congruence Postulate**
If three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent.

You are given that //M// is the midpoint of //XY//, and //AX// ~ //AY//. Midpoint M implies that //MX// ~ //MY//. //AM// ~ //AM// by the symmetric property, so //AMX// ~ //AMY// by the //SSS// postulate.

Decide whether enough information is given to prove the triangles congruent. If there is enough, state which congruence postulate you would use.


3. yes; SAS 4. no 5. yes; SSS
 * Answers:**

Source #1 Source #2