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 theorem used to prove triangle congruence when two angles and a non-included side are known.

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What does SAS stand for in triangle congruence?

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SAS stands for Side-Angle-Side, a theorem used to prove triangle congruence when two sides and the included angle 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 theorem used to prove triangle congruence when all three sides of two triangles are known to be equal.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a theorem used to prove triangle congruence when 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 theorem used to prove congruence in right triangles when the hypotenuse and one leg are known.

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When can you use the AAS theorem?

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You can use the AAS theorem when you know two angles and a non-included side of a triangle.

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When can you use the SAS theorem?

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You can use the SAS theorem when you know two sides and the included angle of a triangle.

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When can you use the SSS theorem?

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You can use the SSS theorem when you know all three sides of two triangles.

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When can you use the ASA theorem?

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You can use the ASA theorem when you know two angles and the included side of a triangle.

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What is the significance of triangle congruence theorems?

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Triangle congruence theorems are significant because they allow us to prove that two triangles are identical in shape and size.