Triangle Congruence Theorems

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a theorem used to prove triangle congruence when two angles and a non-included side are known.

Front

What is the ASA theorem in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a theorem used to prove triangle congruence when two angles and the included side are known.

Front

What does SSA indicate in triangle congruence?

Back

SSA stands for Side-Side-Angle, which does not guarantee triangle congruence.

Front

What is the AAA criterion in triangle congruence?

Back

AAA stands for Angle-Angle-Angle, which indicates that triangles are similar but not necessarily congruent.

Front

What does SSS stand for in triangle congruence?

Back

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

Front

What is the SAS theorem in triangle congruence?

Back

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

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a theorem used to prove congruence in right triangles when the hypotenuse and one leg are known.

Front

Can AAA be used to prove triangle congruence?

Back

No, AAA can only prove similarity, not congruence.

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What is the significance of the SSS theorem?

Back

The SSS theorem states that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What is the significance of the SAS theorem?

Back

The SAS theorem states 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.