Congruent Triangles

Front

What are congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning their corresponding sides and angles are equal.

Front

What is the symbol used to denote congruence in triangles?

Back

The symbol used to denote congruence in triangles is '≅'.

Front

If two triangles are congruent, what can be said about their corresponding angles?

Back

If two triangles are congruent, their corresponding angles are equal.

Front

If ΔABC ≅ ΔDEF, what can be concluded about the sides of the triangles?

Back

The corresponding sides of the triangles are equal: AB = DE, BC = EF, and AC = DF.

Front

What is the Angle-Angle (AA) criterion for triangle congruence?

Back

The AA criterion states that if two angles of one triangle are equal to two angles of another triangle, the triangles are congruent.

Front

What is the Side-Side-Side (SSS) criterion for triangle congruence?

Back

The SSS criterion states that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What is the Side-Angle-Side (SAS) criterion for triangle congruence?

Back

The SAS criterion states 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 Angle-Side-Angle (ASA) criterion for triangle congruence?

Back

The ASA criterion states 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

How can you find the value of a variable in congruent triangles?

Back

You can find the value of a variable in congruent triangles by setting the corresponding sides or angles equal to each other and solving for the variable.

Front

What is the relationship between the measures of angles in congruent triangles?

Back

The measures of corresponding angles in congruent triangles are equal.