Triangle Congruence & Angle Relationships

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What is Triangle Congruence?

Back

Triangle Congruence refers to the condition where two triangles are identical in shape and size, meaning their corresponding sides and angles are equal.

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What are the criteria for triangle congruence?

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The criteria for triangle congruence include: SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), and HL (Hypotenuse-Leg for right triangles).

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What does SSS stand for in triangle congruence?

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SSS stands for Side-Side-Side, which means if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

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SAS stands for Side-Angle-Side, which means if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Front

What does ASA stand for in triangle congruence?

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ASA stands for Angle-Side-Angle, which means if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, which means 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, the triangles are congruent.

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What does HL stand for in triangle congruence?

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HL stands for Hypotenuse-Leg, which is a criterion for right triangles stating that if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, the triangles are congruent.

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What are corresponding angles?

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Corresponding angles are pairs of angles that are in the same position on two different parallel lines cut by a transversal.

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What are alternate interior angles?

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Alternate interior angles are pairs of angles that lie between two parallel lines on opposite sides of a transversal.

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What are consecutive interior angles?

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Consecutive interior angles are pairs of angles that lie between two parallel lines on the same side of a transversal.