Congruent Figures

Front

What are congruent figures?

Back

Congruent figures are shapes that are identical in form and size, meaning they can be superimposed on each other.

Front

What is the symbol used to denote congruence in geometry?

Back

The symbol for congruence is '≅'.

Front

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

Back

If two triangles are congruent, their corresponding angles are equal, and their corresponding sides are equal in length.

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 purpose of using congruence in geometry?

Back

Congruence is used to prove that two shapes are identical in size and shape, which is essential in solving geometric problems.

Front

How can you determine if two angles are congruent?

Back

Two angles are congruent if they have the same measure, typically expressed in degrees or radians.

Front

What does it mean if two segments are congruent?

Back

If two segments are congruent, they have the same length.

Front

What is the relationship between congruent triangles and their areas?

Back

Congruent triangles have equal areas because they are identical in shape and size.