Geo 5.2 AAS, SAS, SSS, ASA

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion that states 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 that states 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 does ASA stand for in triangle congruence?

Back

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

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a criterion that states 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

Which triangle congruence criterion is NOT valid?

Back

SSA (Side-Side-Angle) is not a valid criterion for proving triangle congruence.

Front

What is the significance of congruence statements like PRC?

Back

Congruence statements indicate that two triangles are congruent and specify the corresponding vertices of the triangles.

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 two angles and the corresponding non-included side of another triangle.

Front

What is the difference between ASA and AAS?

Back

ASA requires the included side between two angles to be equal, while AAS does not require the side to be included between the two angles.

Front

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

Back

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

Front

What is the purpose of triangle congruence theorems?

Back

Triangle congruence theorems are used to determine if two triangles are congruent based on specific criteria involving their sides and angles.