SSS, SAS

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

Can AAA be used to prove triangle congruence?

Back

No, AAA (Angle-Angle-Angle) cannot be used to prove triangle congruence because it only shows that the triangles are similar, not necessarily congruent.

Front

If ∆ABC≅∆XYZ, what can we conclude about the sides AB and XY?

Back

AB≅XY, meaning side AB of triangle ABC is congruent to side XY of triangle XYZ.

Front

What is the criteria for using SSS to prove triangle congruence?

Back

The criteria for using SSS is that all three corresponding sides of two triangles must be equal.

Front

What is the criteria for using SAS to prove triangle congruence?

Back

The criteria for using SAS is that two sides and the included angle of one triangle must be equal to two sides and the included angle of another triangle.

Front

What does it mean if two triangles are congruent?

Back

If two triangles are congruent, it means they have the same size and shape, with corresponding sides and angles being equal.

Front

What is the difference between congruence and similarity in triangles?

Back

Congruence means the triangles are identical in size and shape, while similarity means they have the same shape but may differ in size.

Front

What is the importance of the included angle in SAS?

Back

The included angle in SAS is crucial because it is the angle formed between the two sides being compared, ensuring the triangles are congruent.

Front

Can you prove triangle congruence with only two sides?

Back

No, you need either the included angle (SAS) or the third side (SSS) to prove triangle congruence.