HW #45 -- 9.1 Congruent Figures

Front

What is a congruent figure?

Back

A congruent figure is a shape that is identical in form and size to another shape. Congruent figures can be transformed into one another through rotations, translations, or reflections.

Front

What does the symbol '≅' represent in geometry?

Back

The symbol '≅' represents that two figures are congruent, meaning they have the same shape and size.

Front

If ΔABC ≅ ΔDEF, what can we conclude about the corresponding angles?

Back

The corresponding angles are congruent: ∠A ≅ ∠D, ∠B ≅ ∠E, ∠C ≅ ∠F.

Front

What is the purpose of a congruence statement?

Back

A congruence statement indicates that two figures are congruent and specifies which parts of the figures correspond to each other.

Front

How do you write a congruence statement for two triangles?

Back

To write a congruence statement for two triangles, list the vertices in order that corresponds to their congruent angles and sides, e.g., ΔABC ≅ ΔDEF.

Front

What is the relationship between corresponding sides of congruent triangles?

Back

The corresponding sides of congruent triangles are equal in length.

Front

If two angles are congruent, what can we say about their measures?

Back

If two angles are congruent, their measures are equal.

Front

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

Back

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

Front

If ΔXYZ ≅ ΔKLM, what can we conclude about the sides XY and KL?

Back

XY ≅ KL, meaning the lengths of sides XY and KL are equal.

Front

What does it mean if two triangles are not congruent?

Back

If two triangles are not congruent, it means they do not have the same shape and size; their corresponding sides and angles are not equal.