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

How can you determine if two figures are congruent?

Back

Two figures are congruent if all corresponding sides and angles are equal.

Front

What is the significance of congruent sides in triangles?

Back

In triangles, congruent sides indicate that the triangles are similar and can be used to prove congruence through various postulates (e.g., SSS, SAS, ASA).

Front

What does the symbol '≅' represent in geometry?

Back

The symbol '≅' represents that two figures or angles are congruent.

Front

If side AB is congruent to side AE, what can be inferred about their lengths?

Back

If side AB is congruent to side AE, then their lengths are equal.

Front

What is the relationship between corresponding angles in congruent figures?

Back

In congruent figures, corresponding angles are equal.

Front

What is the definition of a congruence transformation?

Back

A congruence transformation is a movement of a figure that preserves its size and shape, such as translation, rotation, or reflection.

Front

Can two figures be congruent if they are not in the same orientation?

Back

Yes, two figures can be congruent even if they are not in the same orientation, as long as they have the same size and shape.

Front

What is the role of congruence in solving geometric problems?

Back

Congruence helps in solving geometric problems by allowing the use of known properties of shapes to deduce unknown measurements.

Front

How do you denote congruent angles?

Back

Congruent angles are denoted using the symbol '≅' followed by the angle names, e.g., ∠A ≅ ∠B.