Final answer:
The hypotenuse-leg congruence property states that 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.
Step-by-step explanation:
The hypotenuse-leg congruence property states that 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. In order to determine if we can use the hypotenuse-leg congruence property to prove the triangles are congruent, we need to determine if we have enough information. So let's consider the options:
A. No, the hypotenuse-leg congruence property cannot be applied, because we don't know if a leg of one triangle is congruent to a leg of the other triangle.
B. No, the hypotenuse-leg congruence property cannot be applied, because we don't know if the hypotenuses are congruent.
C. Yes, the hypotenuse-leg congruence property can be applied.
D. No, the hypotenuse-leg congruence property cannot be applied, because we don't know if the triangles are right triangles.
Based on the options provided, the correct answer is C. Yes, the hypotenuse-leg congruence property can be applied, as long as we are given enough information about the hypotenuse and one leg of each triangle.