Congruent statements

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if they have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What is the symbol for congruence?

Back

The symbol for congruence is '≅'.

Front

If ∆ABC ≅ ∆DEF, what can we say about their corresponding sides and angles?

Back

The corresponding sides and angles of ∆ABC and ∆DEF are equal.

Front

What is the order of letters in a congruence statement?

Back

The order of letters in a congruence statement corresponds to the matching vertices of the triangles.

Front

If ∆XYZ ≅ ∆PQR, which side corresponds to side XY?

Back

Side PQ corresponds to side XY.

Front

What is the definition of corresponding sides in congruent triangles?

Back

Corresponding sides are the sides that are in the same relative position in two different triangles.

Front

If two triangles are congruent, what can we conclude about their areas?

Back

If two triangles are congruent, their areas are equal.

Front

What is the relationship between the angles of congruent triangles?

Back

The angles of congruent triangles are equal.

Front

How do you denote the congruence of two segments?

Back

The congruence of two segments is denoted by placing a congruence symbol (≅) between the two segment names.

Front

What is the significance of the order of vertices in a congruence statement?

Back

The order of vertices indicates which angles and sides correspond to each other.