The HL theorem of triangle judgment is a theorem to prove the coincidence of two right-angled triangles. It is proved that the right side and hypotenuse of two right triangles are equivalent.

The judgment theorem is that if the hypotenuse of two right-angled triangles and a right-angled side are equal, then the two right-angled triangles are identical.

Extended data:

decision

1, three sides corresponding to two triangles are equal, and two triangles are congruent, which is called "side" or "SSS" for short;

2. The two sides corresponding to two triangles and their included angles are equal, and the two triangles are congruent, referred to as "corner edge" or "SAS" for short;

3. The two angles corresponding to two triangles and their clamping edges are equal, and the two triangles are congruent, which is called "angle" or "ASA" for short;

4. The two angles corresponding to two triangles are equal to the opposite sides of one angle, and the two triangles are congruent, which is referred to as "corner edge" or "AAS" for short;

5. A hypotenuse and a right-angled side corresponding to two right-angled triangles are equal, and the two right-angled triangles are congruent, which is referred to as "hypotenuse and right-angled side" or "HL" for short;

Note: "edge" means "SSA" and "corner" means "AAA", which is a wrong proof method.