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. This means that all corresponding sides and angles are equal.

Front

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

Back

If ΔABC ≅ ΔDEF, then ∠A ≅ ∠D, ∠B ≅ ∠E, and ∠C ≅ ∠F.

Front

What does the symbol '≅' represent in geometry?

Back

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

Front

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

Back

If two triangles are congruent, then 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, then 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, then 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, then the triangles are congruent.

Front

If ΔXYZ ≅ ΔKLM, what can we conclude about the lengths of the sides?

Back

If ΔXYZ ≅ ΔKLM, then XY = KL, YZ = LM, and XZ = KM.

Front

What is the relationship between corresponding parts of congruent triangles?

Back

The corresponding parts of congruent triangles are equal, meaning that corresponding sides and angles are congruent.

Front

If ∠A ≅ ∠B and ∠B ≅ ∠C, what can be concluded about ∠A and ∠C?

Back

If ∠A ≅ ∠B and ∠B ≅ ∠C, then ∠A ≅ ∠C by the transitive property of congruence.