#5.2 Congruent Polygons

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 all corresponding sides and angles are equal.

Front

If ΔABC ≅ ΔXYZ, what can we say about the corresponding angles?

Back

If ΔABC ≅ ΔXYZ, then ∠A ≅ ∠X, ∠B ≅ ∠Y, and ∠C ≅ ∠Z.

Front

What is the significance of the order of vertices in congruence statements?

Back

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

Front

What is the correct congruence statement for triangles with vertices V, U, T and U, V, E?

Back

The correct congruence statement is ∆VUT ≅ ∆UVE.

Front

What does the symbol '≅' represent in geometry?

Back

The symbol '≅' represents congruence, indicating that two figures have the same shape and size.

Front

What is the definition of corresponding sides in congruent polygons?

Back

Corresponding sides in congruent polygons are sides that are in the same relative position in each polygon.

Front

How can you prove that two polygons are congruent?

Back

You can prove that two polygons are congruent by showing that all corresponding sides and angles are equal.

Front

What is the relationship between the angles of congruent triangles?

Back

The angles of congruent triangles are equal, meaning that each angle in one triangle corresponds to an equal angle in the other triangle.

Front

What does it mean if a statement about sides or angles is 'not true' in the context of congruent polygons?

Back

If a statement about sides or angles is 'not true', it means that the corresponding sides or angles do not have the same measure, indicating the polygons are not congruent.

Front

What is the importance of the congruence postulates (SSS, SAS, ASA, AAS, HL)?

Back

The congruence postulates provide criteria to determine if two triangles are congruent based on the equality of their sides and angles.