SSS and SAS Triangle Congruence

Front

What does SSS stand for in triangle congruence?

Back

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

Front

What does SAS stand for in triangle congruence?

Back

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

Front

What is the SSS Triangle Congruence Theorem?

Back

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

Front

What is the SAS Triangle Congruence Theorem?

Back

The SAS Triangle 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, at least two sides and the included angle (SAS) or all three sides (SSS) must be known to prove triangle congruence.

Front

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

Back

No, having two equal sides and a non-included angle does not guarantee triangle congruence.

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

How can you prove two triangles are congruent using SSS?

Back

Measure all three sides of both triangles. If all three sides of one triangle are equal to the corresponding sides of the other triangle, they are congruent.

Front

How can you prove two triangles are congruent using SAS?

Back

Measure two sides and the included angle of both triangles. If the two sides and the included angle of one triangle are equal to those of the other triangle, they are congruent.

Front

What is a common misconception about triangle congruence?

Back

A common misconception is that two triangles can be congruent if they have two equal angles and a non-included side, which is not sufficient for congruence.