Triangle Congruence CFA

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What is Triangle Congruence?

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Triangle congruence 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 AAS stand for in triangle congruence?

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AAS stands for Angle-Angle-Side, a criterion for triangle congruence where two angles and a non-included side of one triangle are equal to the corresponding parts of another triangle.

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What does SAS stand for in triangle congruence?

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

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What does SSS stand for in triangle congruence?

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

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What is the Reflexive Property?

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What is the HL theorem?

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The HL theorem, or Hypotenuse-Leg theorem, states that in right triangles, if the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle, then the triangles are congruent.

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What is the AAS theorem?

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The AAS 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 significance of parallel lines in triangle congruence?

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When two lines are parallel, corresponding angles formed with a transversal are equal, which can help establish congruence between triangles.

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How do you set up an equation to find unknown angles in congruent triangles?

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What is the purpose of using congruence theorems?

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Congruence theorems are used to prove that two triangles are congruent, which allows for the application of properties of congruent triangles in solving problems.