The term congruent means that two things are in agreement or harmony, or that they correspond exactly in some way. In general usage, it means "similar to or in agreement with something so that both can coexist without problems"
. In mathematics , especially in geometry, congruent refers to figures or shapes that have the exact same shape and size. This means that if you place one shape over the other, they will match perfectly, even if one is flipped, rotated, or turned. For example, two triangles are congruent if their corresponding sides and angles are equal
. Key points about congruence in math:
- Congruent figures have identical shape and size.
- Congruence applies to line segments, angles, and shapes.
- The symbol for congruence is "≅".
- Congruent shapes remain congruent even when flipped or rotated.
Thus, congruent means "exactly equal in shape and size" in geometry, and more generally, it means "in agreement or harmony" in other contexts