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
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
The special case of the HL (Hypotenuse-Leg) theorem states that in a right triangle, 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 triangles are congruent. This theorem is useful for proving the congruence of right triangles without needing to know the measures of the angles. It simplifies the process of triangle congruence by focusing on the right triangle's defining features.
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.
right triangle
geometry
hypotenuse
Oh, what a lovely question! HL, which stands for Hypotenuse-Leg, is indeed a special case of the Side-Side-Angle postulate in geometry. When we have two triangles where we know the length of one side, the length of another side, and the measure of an angle not between those sides, we can use the SSA postulate to determine if the triangles are congruent. Keep exploring the beauty of geometry, my friend!
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.