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**4.3 & 4.4 Proving Triangles are Congruent**

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**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.

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**Side-Angles-Side (SAS) Congruence Postulate**

If 2 sides are congruent and the angle between the sides are congruent then the triangles are congruent.

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**Angle-Side-Angle (ASA) Congruence Postulate**

If 2 angles are congruent and the side between them is congruent then the triangles are congruent.

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**Angle-Angle-Side (AAS) Congruence Theorem**

If 2 angles are congruent and the non-included side is congruent then the triangles are congruent.

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**Overall, the 4 postulates to prove Triangles Congruent are…**

SSS SAS ASA AAS *Order matters!

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

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

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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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