Practice: SSS and SAS

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence 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 criterion for triangle congruence 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 AAS triangle congruence theorem?

Back

AAS stands for Angle-Angle-Side, a criterion for triangle congruence 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 ASA triangle congruence theorem?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence stating that if two angles and the included side of one triangle are equal to two angles and the corresponding included side of another triangle, the triangles are congruent.

Front

What is SSA in triangle congruence?

Back

SSA stands for Side-Side-Angle, which is not a valid criterion for triangle congruence because it can lead to ambiguous cases where two different triangles can be formed.

Front

If two triangles have two sides of equal length and the angle between them is equal, what can be concluded?

Back

The triangles are congruent by the SAS criterion.

Front

If two triangles have three sides of equal length, what can be concluded?

Back

The triangles are congruent by the SSS criterion.

Front

What is the significance of angle bisectors in triangle congruence?

Back

Angle bisectors can help establish congruence by providing equal angles, which can be used in conjunction with other criteria like SAS or AAS.

Front

How can you prove triangles are congruent using AAS?

Back

To prove triangles are congruent using AAS, show that two angles and a non-included side of one triangle are equal to the corresponding two angles and the non-included side of another triangle.

Front

What is the relationship between ASA and AAS?

Back

Both ASA and AAS can be used to prove triangle congruence, as they both involve two angles and a side, but ASA includes the side between the angles while AAS does not.