Congruent shapes

Front

What are congruent shapes?

Back

Congruent shapes are figures that have the same size and shape. This means that all corresponding sides and angles are equal.

Front

What does the symbol '≅' represent in geometry?

Back

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

Front

If two triangles are congruent, what can we say about their corresponding sides and angles?

Back

If two triangles are congruent, their corresponding sides are equal in length and their corresponding angles are equal in measure.

Front

What is the congruence statement for two congruent triangles?

Back

The congruence statement for two congruent triangles is written as ΔABC ≅ ΔDEF, where the corresponding vertices are matched.

Front

What is the SSS (Side-Side-Side) Congruence Postulate?

Back

The SSS Congruence Postulate 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 SAS (Side-Angle-Side) Congruence Postulate?

Back

The SAS Congruence Postulate 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

What is the ASA (Angle-Side-Angle) Congruence Postulate?

Back

The ASA Congruence Postulate states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What is the AAS (Angle-Angle-Side) Congruence Theorem?

Back

The AAS Congruence Theorem states that if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the triangles 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 constructions.

Front

How can you determine if two polygons are congruent?

Back

To determine if two polygons are congruent, you can compare the lengths of their corresponding sides and the measures of their corresponding angles.