Congruent:- If two figure coincided on each other when it is super imposed on each other that is called congruent figure.

What is Congruence of Triangles?

Congruence of triangles is a fundamental concept in geometry which states that two triangles are congruent if their corresponding sides and angles are equal. In simple terms, if two triangles have the same shape and size, they are said to be congruent.

Key Points of Congruence of Triangles:
- Two triangles are congruent if all three sides of one triangle are equal to the corresponding three sides of the other triangle.
- Two triangles are congruent if two sides and the included angle of one triangle are equal to the two sides and the included angle of the other triangle.
- Two triangles are congruent if two angles and the included side of one triangle are equal to the two angles and the included side of the other triangle.

Importance of Congruence of Triangles:
- Congruence of triangles helps in solving various geometrical problems relating to triangles.
- It helps in proving the equality of two geometric figures by superimposing one over the other.

Applications of Congruence of Triangles:
- Congruence of triangles is used in construction and architecture to ensure that structures are built accurately.
- It is used in engineering and design to create symmetrical and proportional shapes.
- It is used in navigation and surveying to calculate distances and angles accurately.

In conclusion, understanding the concept of congruence of triangles is essential in geometry as it helps in solving problems related to triangles and plays a crucial role in various fields of study and applications.