Triangle Congruence Theorems

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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, then the two 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, then the two triangles are congruent.

Front

What is the AAS theorem?

Back

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, then the two triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

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, then the two triangles are congruent.

Front

What is the HL theorem?

Back

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, then the two triangles are congruent.

Front

What additional information is needed to prove triangles are congruent by AAS?

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To prove triangles are congruent by AAS, you need two angles and one non-included side to be congruent.

Front

What additional information is needed to prove triangles are congruent by SAS?

Back

To prove triangles are congruent by SAS, you need two sides and the included angle to be congruent.

Front

How do you denote congruent angles?

Back

Front

How do you denote congruent sides?

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Front

What is the significance of triangle congruence theorems?

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Triangle congruence theorems are significant because they allow us to prove that two triangles are identical in shape and size, which is essential in various geometric proofs and applications.