Triangle Congruence

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What does AAS stand for in triangle congruence?

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AAS stands for Angle-Angle-Side, a postulate that states if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

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What is the SAS postulate?

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SAS stands for Side-Angle-Side, a postulate that states if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

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What is the SSS postulate?

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SSS stands for Side-Side-Side, a postulate that states if all three sides of one triangle are congruent to all three sides of another triangle, then the triangles are congruent.

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What is the SSA condition?

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SSA stands for Side-Side-Angle, which does not guarantee triangle congruence. It can lead to ambiguous cases where two different triangles can be formed.

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What is the relationship between congruent triangles and their corresponding parts?

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If two triangles are congruent, then all their corresponding parts (sides and angles) are also congruent.

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Which triangle congruence theorem can be used if two angles and a non-included side are known?

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The AAS (Angle-Angle-Side) theorem can be used to prove triangle congruence.

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