HL congruence theorem
It is a special case of:the 3 sides (SSS) congruence, using Pythagoras,the 2 sides and included angle (SAS) congruence, using the sine rule.
geometry
HL - usually in upper case - stands for "Hypotenuse - Leg". It is a specialized triangle congruence theorem, the "regular ones are SSS, SAS, and ASA. HL says that in two right triangles, if the hypoteneuses and a pair of legs (the sides forming the right angle) are congruent, then the triangles are congruent.
HL Congruence Theorem says: If the hypotenuse and one leg of one right triangle are congruent to the hypotenuse and one leg of another right triangle, then the two right triangles are congruent.sss
HL congruence theorem
It is a special case of:the 3 sides (SSS) congruence, using Pythagoras,the 2 sides and included angle (SAS) congruence, using the sine rule.
geometry
right triangle
hypotenuse
yes
HL and HA
HL - usually in upper case - stands for "Hypotenuse - Leg". It is a specialized triangle congruence theorem, the "regular ones are SSS, SAS, and ASA. HL says that in two right triangles, if the hypoteneuses and a pair of legs (the sides forming the right angle) are congruent, then the triangles are congruent.
HL Congruence Theorem says: If the hypotenuse and one leg of one right triangle are congruent to the hypotenuse and one leg of another right triangle, then the two right triangles are congruent.sss
My geometry teacher uploads his lessons to YouTube. The proof itself starts at 1:28.
The hypotenuse leg theorem states that any two right triangles that have a congruent hypotenuse and a corresponding, congruent leg arecongruent triangles.
You can't use SSA or ASS as a postulate because it doesn't determine that the triangles are congruent; right triangles are most likely determined by HL: hypotenuse leg- genius!