Triangle Congruency Proofs

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What is Triangle Congruency?

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Triangle congruency refers to the condition where two triangles are considered congruent if they have the same size and shape, meaning their corresponding sides and angles are equal.

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What does SSS stand for in triangle congruency?

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

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What does ASA stand for in triangle congruency?

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ASA stands for 'Angle-Side-Angle', a method of proving triangle congruency where two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

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What does AAS stand for in triangle congruency?

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AAS stands for 'Angle-Angle-Side', a method of proving triangle congruency where two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle.

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What does SAS stand for in triangle congruency?

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

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What does HL stand for in triangle congruency?

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HL stands for 'Hypotenuse-Leg', a method of proving congruency specifically for right triangles, where the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle.

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What is the Reflexive Property?

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What is the significance of right angles in triangle proofs?

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All right angles are congruent, which can be used in proofs to establish congruency between triangles that include right angles.

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What is the definition of congruent angles?

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What is the definition of congruent segments?

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