Question

15 fill in the blank 1 point the ll congruence theorem for right triangles is a special case of the _. choose your answer... choose your answer... aas theorem or asa postulate sas postulate or sss postulate sas postulate or asa postulate aas theorem or sss postulate

Explanation:

• LL congruence theorem: In right - angled triangles, if the two legs (LL) of one right - angled triangle are equal to the two legs of another right - angled triangle, then the two right - angled triangles are congruent.
• SAS (Side - Angle - Side) postulate: If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent. In a right - angled triangle, the right angle is the included angle between the two legs. So, when we use the LL (two legs) to prove the congruence of right - angled triangles, it is equivalent to using the SAS postulate (because the right angle is the included angle between the two legs).
• SSS (Side - Side - Side) postulate: If three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent. If we consider the hypotenuse (which can be found using the Pythagorean theorem \(c=\sqrt{a^{2}+b^{2}}\) where \(a\) and \(b\) are the legs) along with the two legs, when two right - angled triangles have equal legs, their hypotenuses are also equal. So, it can also be seen as a special case of the SSS postulate.

Answer:

SAS postulate or SSS postulate