Congruent Triangles

Front

What are congruent triangles?

Back

Triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What does SSS stand for in triangle congruence?

Back

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

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 does ASA stand for in triangle congruence?

Back

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 included side of another triangle, the triangles are congruent.

Front

What does AAS stand for in triangle congruence?

Back

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 a corresponding non-included side of another triangle, the triangles are congruent.

Front

What is the difference between AAA and congruence?

Back

AAA (Angle-Angle-Angle) indicates that triangles have the same shape but not necessarily the same size, so they are not congruent.

Front

If two triangles have two equal angles, what can be said about their sides?

Back

The sides opposite those angles are proportional, but the triangles are not necessarily congruent.

Front

How can you prove two triangles are congruent using SSS?

Back

By showing that all three corresponding sides of one triangle are equal to the three corresponding sides of another triangle.

Front

What is the importance 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.

Front

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

Back

No, at least two sides and the included angle must be equal for the triangles to be congruent.