Question

question 7 of 25
the hl congruence theorem for right triangles is a special case of the ______.
a. sas postulate
b. asa postulate
c. aas theorem
d. sss postulate

Explanation:

The HL (Hypotenuse-Leg) theorem applies to right triangles, where if the hypotenuse and one leg of two right triangles are congruent, the triangles are congruent. For right triangles, we can use the Pythagorean theorem to show the third pair of legs are congruent: if hypotenuse $c_1=c_2$ and leg $a_1=a_2$, then $b_1=\sqrt{c_1^2-a_1^2}=\sqrt{c_2^2-a_2^2}=b_2$. This means all three pairs of sides are congruent, matching the SSS (Side-Side-Side) postulate.

Answer:

D. SSS postulate