#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 their corresponding sides and angles are equal.

Front

If ΔABC ≅ ΔXYZ, what can we conclude about their 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 definition of corresponding sides in congruent polygons?

Back

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

Front

What is the notation used to indicate that two segments are congruent?

Back

The notation used to indicate that two segments are congruent is '≅'.

Front

What is the relationship between the angles of congruent triangles?

Back

The angles of congruent triangles are equal in measure.

Front

What is the criteria for proving triangle congruence?

Back

The criteria for proving triangle congruence include SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), and HL (Hypotenuse-Leg for right triangles).

Front

How can you determine if two polygons are congruent?

Back

Two polygons are congruent if their corresponding sides and angles are equal.

Front

What does the symbol '≅' represent in geometry?

Back

The symbol '≅' represents that two geometric figures are congruent.

Front

What is the importance of congruence in geometry?

Back

Congruence is important in geometry because it allows us to determine when two shapes are identical in size and shape, which is essential for solving problems involving measurements and properties.