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What does AAS stand for in triangle congruency?

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

Front

What does SAS stand for in triangle congruency?

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.

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What does SSS stand for in triangle congruency?

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

Front

What does ASA stand for in triangle congruency?

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.

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What does SSA stand for in triangle congruency?

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SSA stands for Side-Side-Angle, which is not a valid postulate for proving triangle congruency.

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What is the Hypotenuse-Leg (HL) theorem?

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The HL theorem states that if the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

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How can you prove triangles are congruent using AAS?

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To prove triangles are congruent using AAS, show that two angles and the non-included side of one triangle are equal to two angles and the non-included side of another triangle.

Front

How can you prove triangles are congruent using SAS?

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To prove 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.

Front

How can you prove triangles are congruent using SSS?

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

Front

How can you prove triangles are congruent using ASA?

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To prove triangles are congruent using ASA, show that two angles and the included side of one triangle are equal to two angles and the included side of another triangle.