Triangle Congruence

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What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a theorem used to prove the congruence of right triangles.

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What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a theorem used to prove the congruence of triangles when two sides and the included angle are known.

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What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a theorem used to prove the congruence of triangles when all three sides are known.

Front

What is the Hypotenuse-Leg (HL) theorem?

Back

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

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How can you prove two triangles are congruent using SAS?

Back

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

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How can you prove two triangles are congruent using SSS?

Back

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

Front

What is the Angle-Side-Angle (ASA) theorem?

Back

The ASA theorem states that if two angles and the side between them in one triangle are equal to two angles and the side between them in another triangle, then the triangles are congruent.

Front

What is the Angle-Angle-Side (AAS) theorem?

Back

The AAS theorem states 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 triangles are congruent.

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What is the importance of triangle congruence in geometry?

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Triangle congruence is important in geometry because it allows us to determine that two triangles are identical in shape and size, which is fundamental for solving various geometric problems.

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What is the criteria for triangle congruence?

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The criteria for triangle congruence include SSS, SAS, ASA, AAS, and HL.