SSS and 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

What is the condition for using the SSS theorem?

Back

The condition for using the SSS theorem is that all three corresponding sides of the triangles must be equal.

Front

What is the condition for using the SAS theorem?

Back

The condition for using the SAS theorem is that two sides and the angle between them in one triangle must be equal to two sides and the angle between them in another triangle.

Front

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

Back

We can conclude that AB≅XY.

Front

What is the difference between SAS and AAS?

Back

SAS requires two sides and the included angle to be equal, while AAS requires two angles and a non-included side to be equal.

Front

Can SSA be used to prove triangle congruence?

Back

No, SSA (Side-Side-Angle) does not guarantee triangle congruence.

Front

What is the AAS theorem?

Back

AAS stands for Angle-Angle-Side, a theorem stating that 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 significance of the included angle in SAS?

Back

The included angle is the angle between the two sides being compared; it is crucial for establishing congruence in the SAS theorem.

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.