Triangle Congruence

Front

What does HL stand for in triangle congruence?

Back

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

Front

What does SSS stand for in triangle congruence?

Back

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

Front

What is the definition of triangle congruence?

Back

Triangle congruence means that two triangles are identical in shape and size, having corresponding sides and angles that are equal.

Front

What is the criteria for using the SSS theorem?

Back

The SSS theorem can be used when all three sides of one triangle are known to be equal to the three sides of another triangle.

Front

What is the criteria for using the AAS theorem?

Back

The AAS theorem can be used when two angles and one side (not between the angles) of one triangle are known to be equal to two angles and the corresponding side of another triangle.

Front

What is the criteria for using the HL theorem?

Back

The HL theorem can be used when two right triangles have one leg and the hypotenuse equal to the corresponding leg and hypotenuse of another right triangle.

Front

Can two triangles be congruent if only two sides are known?

Back

No, two triangles cannot be proven congruent with only two sides known unless additional information (like angles) is provided.

Front

What is the importance of congruence in triangles?

Back

Congruence in triangles is important because it allows us to determine that two triangles are identical in shape and size, which is essential in various applications in geometry.

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 corresponding side in another triangle, the triangles are congruent.