Triangle Proof Theorems

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What does SAA stand for in triangle congruence?

Back

SAA stands for 'Side-Angle-Angle', a method to prove triangle congruence where two angles and the included side are known.

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What does SSS stand for in triangle congruence?

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SSS stands for 'Side-Side-Side', a method to prove triangle congruence where all three sides of one triangle are equal to the three sides of another triangle.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for 'Side-Angle-Side', a method to prove triangle congruence where two sides and the included angle of one triangle are equal to the corresponding parts of another triangle.

Front

What does SSA stand for in triangle congruence?

Back

SSA stands for 'Side-Side-Angle', which is NOT a valid method to prove triangle congruence because it can lead to ambiguous cases.

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What does AAS stand for in triangle congruence?

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AAS stands for 'Angle-Angle-Side', a method to prove triangle congruence where two angles and a non-included side are known.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for 'Angle-Side-Angle', a method to prove triangle congruence where two angles and the included side are known.

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What is the HL theorem in triangle congruence?

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HL stands for 'Hypotenuse-Leg', a method to prove congruence specifically for right triangles, where the hypotenuse and one leg are equal.

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Can SSA be used to prove triangle congruence?

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No, SSA cannot be used to prove triangle congruence as it may lead to ambiguous cases where two different triangles can be formed.

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What is the first step in proving triangles are congruent using SAS?

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Identify two sides and the included angle of one triangle that correspond to two sides and the included angle of another triangle.

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What is the importance of the included angle in SAS?

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The included angle in SAS is crucial because it is the angle formed between the two sides being compared, ensuring the triangles are congruent.