Triangle Congruence

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a criterion for triangle congruence where two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence where two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence where all three sides of one triangle are equal to all three sides of another triangle.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence where two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

What is the SSA condition 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.

Front

How can you determine if two triangles are congruent using AAS?

Back

If two angles and the side opposite one of those angles in one triangle are equal to the corresponding angles and side in another triangle, the triangles are congruent by AAS.

Front

How can you determine if two triangles are congruent using SAS?

Back

If two sides and the angle between them in one triangle are equal to the corresponding sides and angle in another triangle, the triangles are congruent by SAS.

Front

How can you determine if two triangles are congruent using SSS?

Back

If all three sides of one triangle are equal to all three sides of another triangle, the triangles are congruent by SSS.

Front

How can you determine if two triangles are congruent using ASA?

Back

If two angles and the side between them in one triangle are equal to the corresponding angles and side in another triangle, the triangles are congruent by ASA.

Front

What is the significance of triangle congruence in geometry?

Back

Triangle congruence is significant because it allows us to establish that two triangles are identical in shape and size, which is fundamental in proving other geometric properties.