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 does the symbol '≅' represent in geometry?

Back

The symbol '≅' indicates that two figures are congruent.

Front

What must be true for two polygons to be congruent?

Back

They must have the same number of sides and angles, and corresponding sides must be equal in length.

Front

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

Back

The corresponding angles of congruent triangles are equal.

Front

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

Back

The order of letters in a congruence statement indicates which vertices correspond to each other.

Front

How can you determine if two segments are congruent?

Back

Two segments are congruent if they have the same length.

Front

What is the relationship between corresponding sides of congruent polygons?

Back

Corresponding sides of congruent polygons are equal in length.

Front

If △ABC ≅ △DEF, what can be inferred about the angles?

Back

∠A = ∠D, ∠B = ∠E, and ∠C = ∠F.

Front

What is the definition of a congruence statement?

Back

A congruence statement is a mathematical statement that indicates that two figures are congruent, listing corresponding vertices.

Front

If two triangles have two pairs of equal sides and the included angle is equal, what can be concluded?

Back

The triangles are congruent by the Side-Angle-Side (SAS) postulate.