Triangle Congruence

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What is Triangle Congruence?

Back

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 SSS stand for in triangle congruence?

Back

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

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a postulate that states if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a postulate that states if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a theorem that states 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 does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a theorem that applies 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, then the triangles are congruent.

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What is the significance of SSA in triangle congruence?

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SSA stands for Side-Side-Angle, which does not guarantee triangle congruence, as two different triangles can be formed with the same two sides and a non-included angle.

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How can you determine if two triangles are congruent using the SSS postulate?

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To determine if two triangles are congruent using the SSS postulate, measure all three sides of both triangles. If all three pairs of corresponding sides are equal, the triangles are congruent.

Front

How can you determine if two triangles are congruent using the SAS postulate?

Back

To determine if two triangles are congruent using the SAS postulate, measure two sides and the included angle of both triangles. If the two sides and the included angle are equal, the triangles are congruent.

Front

How can you determine if two triangles are congruent using the ASA postulate?

Back

To determine if two triangles are congruent using the ASA postulate, measure two angles and the included side of both triangles. If the two angles and the included side are equal, the triangles are congruent.