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The SAS theorem is used to prove that two triangles are congruent. If the triangles have a side-angle-side that are congruent (it must be in that order), then the two triangles can be proved congruent. Using this theorem can in the future help prove corresponding parts are congruent among other things.
The hypotenuse leg theorem states that any two right triangles that have a congruent hypotenuse and a corresponding, congruent leg arecongruent triangles.
That's not a postulate. It's a theorem. And you have stated it.
law of congruency
The HA and HL theorems for right triangles or the Pythagorean theorem might be of use.
The SAS theorem is used to prove that two triangles are congruent. If the triangles have a side-angle-side that are congruent (it must be in that order), then the two triangles can be proved congruent. Using this theorem can in the future help prove corresponding parts are congruent among other things.
The hypotenuse leg theorem states that any two right triangles that have a congruent hypotenuse and a corresponding, congruent leg arecongruent triangles.
Pythagorean theorem
That's not a postulate. It's a theorem. And you have stated it.
leg
law of congruency
It is a congruence theorem for triangles. It states that if you have two triangles in which two sides of one are congruent to two sides of the other, and the angles included by the sides are equal, then the triangles are congruent.
The four congruence theorem for right triangles are:- LL Congruence Theorem --> If the two legs of a right triangle is congruent to the corresponding two legs of another right triangle, then the triangles are congruent.- LA Congruence Theorem --> If a leg and an acute angle of a right triangles is congruent to the corresponding leg and acute angle of another right triangle, then the triangles are congruent.- HA Congruence Theorem --> If the hypotenuse and an acute angle of a right triangle is congruent to the corresponding hypotenuse and acute angle of another triangle, then the triangles are congruent.- HL Congruence Theorem --> If the hypotenuse and a leg of a right triangle is congruent to the corresponding hypotenuse and leg of another right triangle, then the triangles are congruent.
hypotenuses
The HA and HL theorems for right triangles or the Pythagorean theorem might be of use.
LEGS
The side-angle-side congruence theorem states that if you know that the lengths of two sides of two triangles are congruent and also that the angle between those sides has the same measure in both triangles, then the two triangles are congruent.