Triangle Congruence and Similarity - NC Math 2

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What does AA Similarity mean in triangle similarity?

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AA Similarity means that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

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What does SAS Similarity mean in triangle similarity?

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SAS Similarity means that if two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, then the triangles are similar.

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What does SSS Similarity mean in triangle similarity?

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SSS Similarity means that if the three sides of one triangle are in proportion to the three sides of another triangle, then the triangles are similar.

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What is the SAS Congruence Postulate?

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The SAS Congruence Postulate states that if two sides of one triangle are equal to two sides of another triangle and the included angle is equal, then the triangles are congruent.

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What is the ASA Congruence Postulate?

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The ASA Congruence Postulate states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

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What is the AAS Congruence Theorem?

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The AAS Congruence Theorem states that if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

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What is the SSS Congruence Postulate?

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The SSS Congruence Postulate states that if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

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How can you determine if two triangles are similar?

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You can determine if two triangles are similar by checking for AA, SAS, or SSS similarity.

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What is the difference between congruence and similarity in triangles?

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Congruence means that triangles are identical in size and shape, while similarity means that triangles have the same shape but may differ in size.

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If two triangles have one angle equal and the sides including that angle are in proportion, what can be concluded?

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The triangles are similar by the SAS Similarity criterion.