4.3 & 4.4 Proving Triangles are Congruent

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Presentation transcript:

4.3 & 4.4 Proving Triangles are Congruent

Side-Side-Side (SSS) Congruence Postulate: If 3 sides of one triangle are congruent to 3 sides of another triangle, then the two triangles are congruent.

Side-Angles-Side (SAS) Congruence Postulate If 2 sides are congruent and the angle between the sides are congruent then the triangles are congruent.

Angle-Side-Angle (ASA) Congruence Postulate If 2 angles are congruent and the side between them is congruent then the triangles are congruent.

Angle-Angle-Side (AAS) Congruence Theorem If 2 angles are congruent and the non-included side is congruent then the triangles are congruent.

Overall, the 4 postulates to prove Triangles Congruent are… SSS SAS ASA AAS *Order matters!

Practice Questions: Are the following triangles congruent? If so, by which postulate?

Practice Questions: Name the included angle between side AB and BC:

Practice Questions: Is it possible to prove that the triangles are congruent? If so, state the postulate or theorem you would use.