Triangular congruence formula

The triangle congruence formula is as follows:

1, SSS formula: If three sides of two triangles are equal, then they are identical. Specifically, if triangle ABC and triangle DEF satisfy the following conditions:

AB = DE

BC = EF

CA = FD

Then we can say that triangle ABC is equal to triangle DEF.

2.SAS formula (congruent edges and corners): If a pair of sides and included angles of two triangles are equal respectively, then they are congruent. Specifically, if triangle ABC and triangle DEF satisfy the following conditions:

Edge AB = DE

BC side = EF

Angle ∠B = ∠E

Then we can say that triangle ABC is equal to triangle DEF.

3.ASA formula (congruence of angle and angle): If a diagonal line and a clip are equal respectively, then two triangles are congruent. Specifically, if triangle ABC and triangle DEF satisfy the following conditions:

Angle ∠ a = ∠ d.

BC side = EF

Angle ∠C = ∠F

Then we can say that triangle ABC is equal to triangle DEF.

4.HL formula (hypotenuse-height-hypotenuse congruence): If the hypotenuse and height of two right-angled triangles are equal, and one of them is a right angle, they are congruent.

The nature and application of congruent triangles;

Corresponding edges and angles are equal: if two triangles are congruent, their corresponding edges and angles are equal. This means that if we know some side lengths or corners of a congruent triangles, we can calculate the side lengths or corners of another congruent triangles through the corresponding relationship.

Congruent triangles's height and area are equal: if two triangles are congruent, their height and area are also equal. This means that if two triangles are congruent and their bases are equal, then their heights and areas are equal.

The bisectors of the inner angles of congruent triangles are equal: if the bisectors of one angle in two congruent triangles are equal, the bisectors of the two angles are equal.

Congruent triangles's median lines are equal: if the median lines on one side of two congruent triangles are equal, then the median lines on the other side of these two triangles are also equal.

Congruent triangles's bisector and midline are equal: if the bisector of one corner of two congruent triangles is equal to the midline of the other corner, then the bisector and midline of the other corner of these two triangles are also equal.