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Five judging methods of triangle congruence
1, SSS (edge-edge-edge): A triangle with three equal sides is a congruent triangles. ?

2.SAS (Edge-Angle-Edge): A triangle with two edges and their included angles is congruent triangles. ?

3.ASA (Corner): The coincidence of two corners and their clamping edges. ?

4.AAS(Angle-Angle-Side): two angles and the opposite side of an angle correspond to the congruence of an equal triangle. ?

5.RHS (right angle-hypotenuse-edge) (also known as HL theorem (hypotenuse, right side)): In a pair of right triangles, the hypotenuse is equal to the other right side.

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.

Extended data

Congruent triangles property

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.

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