Review_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 AAA stand for in triangle congruence?

Back

Angle-Angle-Angle; this is NOT a valid criterion for triangle congruence because it only shows that the triangles are similar, not necessarily congruent.

Front

If two triangles have two sides and the included angle equal, what can we conclude?

Back

The triangles are congruent by the SAS criterion.

Front

If two triangles have all three sides equal, what can we conclude?

Back

The triangles are congruent by the SSS criterion.

Front

If two triangles have two angles equal and the side between them is equal, what can we conclude?

Back

The triangles are congruent by the ASA criterion.

Front

Can two triangles be congruent if they have only one side equal?

Back

No, having only one side equal is not sufficient to prove congruence.

Front

What is the significance of congruent triangles in geometry?

Back

Congruent triangles are used to prove various geometric properties and theorems, as they maintain the same shape and size.