Download Congruent Triangles (part 3)

Congruent Triangles (part 3)
Included side vs. Non­included side
Included side—side connecting the vertices of two angles
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included side
Angle­Side­Angle (ASA) Congruence Postulate
If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent.
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Congruent Triangles (part 3)
Angle­Angle­Side (AAS) Congruence Theorem
If two angles and a non­included side of one triangle are congruent to two angles and the corresponding non­included side of a second triangle, then the two triangles are congruent.
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Angle­Angle­Angle is not a valid method for proving triangles are congruent.
Must have a least one set of congruent corresponding sides to prove two triangles are congruent.
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Congruent Triangles (part 3)
Use the given information to determine whether or not
∆ABC ≅ ∆DEF. Explain your reasoning.
Given:
Given:
State the additional information that is needed to prove ∆ABC ≅ ∆DEF using the indicated postulate or theorem.
Given:
Method: AAS
Given:
Method: ASA
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