SSS SAS Congruence

Front

What does SSS stand for in triangle congruence?

Back

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

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for 'Side-Angle-Side', a theorem 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.

Front

What is the ASA congruence theorem?

Back

ASA stands for 'Angle-Side-Angle', a theorem 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.

Front

What is the AAS congruence theorem?

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, then the triangles are congruent.

Front

What is the HL theorem in triangle congruence?

Back

HL stands for 'Hypotenuse-Leg', a theorem that states 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.

Front

How can you prove triangles are congruent using SSS?

Back

To prove triangles are congruent using SSS, show that all three corresponding sides of the triangles are equal in length.

Front

How can you prove triangles are congruent using SAS?

Back

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

What is the difference between SAS and SSS?

Back

SAS requires two sides and the included angle to be equal, while SSS requires all three sides to be equal.

Front

Can you use SSS to prove triangles are congruent if only two sides are known?

Back

No, SSS requires all three sides to be known to prove congruence.

Front

What is the importance of congruence in geometry?

Back

Congruence in geometry helps to establish that two shapes are identical in shape and size, which is crucial for solving problems involving triangles.