Triangle Congruence

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What is Triangle Congruence?

Back

Triangle Congruence refers to the condition where two triangles are considered congruent if 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 criterion for triangle congruence stating that 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?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence 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.

Front

What does ASA stand for in triangle congruence?

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ASA stands for Angle-Side-Angle, a criterion for triangle congruence 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.

Front

What does AAS stand for in triangle congruence?

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AAS stands for Angle-Angle-Side, a criterion for triangle congruence 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 is the corresponding angle in triangle congruence?

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The corresponding angle in triangle congruence is an angle in one triangle that is equal to an angle in another triangle when the triangles are congruent.

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What is the corresponding side in triangle congruence?

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The corresponding side in triangle congruence is a side in one triangle that is equal in length to a side in another triangle when the triangles are congruent.

Front

If ∆ABC≅∆XYZ, what can we say about the sides AB and XY?

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If ∆ABC≅∆XYZ, then AB≅XY, meaning the lengths of sides AB and XY are equal.

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How can you prove two triangles are congruent using SSS?

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To prove two triangles are congruent using SSS, show that all three sides of one triangle are equal to the three sides of another triangle.

Front

How can you prove two triangles are congruent using SAS?

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To prove two triangles are congruent using SAS, show that two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.