Question

the hl theorem is a special case of the _____.
a. sas postulate
b. sss postulate
c. asa postulate
d. aas theorem

Explanation:

The HL (Hypotenuse - Leg) theorem is for right - angled triangles. In a right - angled triangle, if the hypotenuse and one leg of one right - triangle are congruent to the hypotenuse and one leg of another right - triangle, the triangles are congruent. The SAS (Side - Angle - Side) postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, the triangles are congruent. In a right - angled triangle for HL, the right angle is the included angle between the leg and the hypotenuse, so HL is a special case of SAS when the angle is a right angle.

Answer:

A. SAS postulate