4.3 & 4.4 Proving Triangles are C ongruent
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Transcript of 4.3 & 4.4 Proving Triangles are C ongruent
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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.