Triangle Congruence

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What is Triangle Congruence?

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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 does SSS stand for in triangle congruence?

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SSS stands for Side-Side-Side, a theorem stating that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

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What does SAS stand for in triangle congruence?

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SAS stands for Side-Angle-Side, a theorem stating that 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.

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What does ASA stand for in triangle congruence?

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ASA stands for Angle-Side-Angle, a theorem stating that 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.

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What does AAS stand for in triangle congruence?

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AAS stands for Angle-Angle-Side, a theorem stating 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, 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, a theorem applicable to 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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When can you use the SSS theorem?

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You can use the SSS theorem when you know the lengths of all three sides of two triangles and want to prove they are congruent.

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When can you use the SAS theorem?

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You can use the SAS theorem when you know the lengths of two sides and the measure of the included angle 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 the measures of two angles and the length of the included side of two triangles.

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When can you use the AAS theorem?

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