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 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 - 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
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 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 - 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.
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!