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4.3 & 4.4 Proving Triangles are C ongruent

4.3 & 4.4 Proving Triangles are C ongruent. 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.

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4.3 & 4.4 Proving Triangles are C ongruent

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  1. 4.3 & 4.4 Proving Triangles are Congruent

  2. 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.

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

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

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

  6. Overall, the 4 postulatesto prove Triangles Congruent are… • SSS • SAS • ASA • AAS *Order matters!

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

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

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

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