After rotation, translation and rotation, two triangles that can completely overlap are called congruent triangles, and the three sides and three angles of the two triangles are equal. Congruent triangles refers to two congruent triangles whose three sides and three angles are equal. Congruent triangles is one of congruences in geometry.
According to congruence transformation, two congruent triangles are still congruence after translation, rotation and folding. Generally speaking, the verification of two congruent triangles is judged by the hypotenuse and right-angled side (HL) of side (SSS), corner (SAS), corner (ASA), corner (AAS) and right-angled triangle.
Nature:
1. The angles corresponding to congruent triangles are equal.
2. The corresponding sides of congruent triangles are equal.
3. Vertices that can completely coincide are called corresponding vertices.
4. The heights of the corresponding sides of congruent triangles are equal.
5. The bisectors of the corresponding angles of congruent triangles are equal.
6. The median lines of the corresponding sides of congruent triangles are equal.
7. congruent triangles is equal in area and circumference.
8. The trigonometric functions of congruent triangles corresponding angles are equal.