In geometry, congruent refers to figures or shapes that are exactly the same in size and shape. When two shapes are congruent, one can be transformed into the other through a series of movements like translation (sliding), rotation (turning), or reflection (flipping), without changing the size or proportions.

For example:

• Two triangles are congruent if their corresponding sides and angles are equal.
• Two line segments are congruent if they have the same length.

The symbol for congruence is ≅. For instance, if triangle ABC is congruent to triangle DEF, we write:
△ABC ≅ △DEF

Would you like more details or have any questions?

Here are 5 related questions to explore:

1. How can you determine if two triangles are congruent?
2. What are the different criteria for triangle congruence (e.g., SSS, SAS)?
3. How does congruence differ from similarity in geometry?
4. Can two shapes be congruent if they are reflected versions of each other?
5. What real-life examples can demonstrate congruence in shapes?

Tip: To prove congruence, focus on matching corresponding sides and angles of the figures!