Five judging methods of triangle congruence;

1, SSS (side by side): A triangle with three equal sides is congruent triangles.

2.SAS (Angle and Edge): The triangle corresponding to two edges and their included angles is congruent triangles.

3.ASA (Angle and Angle): the combination of two angles and their corresponding equal triangle clamping edges.

4.AAS (corner edge): two corners and the opposite side of an angle correspond to equal triangular congruences. ?

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. (proved by SSS principle)

Extended data:

Ways to find congruent triangles:

1, starting from known conditions

Mark all the conditions that can be marked on the diagram, and pay attention to distinguish them with different labels, such as using a short vertical line for the first group of equal-length line segments, two short vertical lines for the second group of equal-length line segments, a small arc for the first group of equal angles, and two small arcs for the second group of equal angles.

Then find two related triangles through known conditions, and then analyze them. Remember one sentence: "Make full use of known conditions".

2. Consider the existing conditions and conclusions.

Find out all the known conditions and hidden conditions, find out two possible congruent triangles with the conclusion, and then analyze them.

3. If the above methods are not feasible, we can consider adding auxiliary lines to construct congruent triangles.

References:

Baidu Encyclopedia-congruent triangles