SSS and SAS Triangle Congruence

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, then the two 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 two triangles are congruent.

Front

What is the SSS Congruence Theorem?

Back

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

Front

What is the SAS Congruence Theorem?

Back

The SAS Congruence Theorem states that if two sides and the angle between them in one triangle are equal to two sides and the angle between them in another triangle, then the triangles are congruent.

Front

Can two triangles be congruent if only one side is known?

Back

No, knowing only one side is not enough to prove triangle congruence; more information is needed.

Front

If two triangles have two equal sides and a non-included angle, are they congruent?

Back

No, two triangles with two equal sides and a non-included angle are not necessarily congruent; this is known as the SSA condition.

Front

What is the importance of the included angle in SAS?

Back

The included angle is crucial in SAS because it is the angle formed between the two sides being compared, which helps establish congruence.

Front

What is an example of SSS in real life?

Back

An example of SSS in real life is when two triangular pieces of wood are cut to the same lengths for a construction project, ensuring they will fit together perfectly.

Front

What is an example of SAS in real life?

Back

An example of SAS in real life is when two triangular sails on a boat are adjusted to have the same length for two sides and the angle between them, ensuring they are congruent.

Front

What does it mean for triangles to be congruent?

Back

Triangles are congruent when they have the same size and shape, meaning all corresponding sides and angles are equal.