Question

Which of these best describes the hypotenuse-angle theorem?

Select one:
a. If the hypotenuse and an acute angle of a right triangle are similar to the corresponding parts of another right triangle, then the triangles are similar
b. If a side and an acute angle of a right triangle are congruent to the corresponding parts of another right triangle, then the triangles are congruent.
c. none of these
d. If the hypotenuse and an acute angle of a right triangle are congruent to the corresponding parts of another right triangle, then the triangles are congruent.

Answer 1

The hypotenuse angle theorem basically states that if the hypotenuse and an acute angle of one right triangle are congruent to the hypotenuse and an acute angle of another right triangle, then the two triangles are congruent.

So I would say D is correct

Answer 2

Option D is correct.

Explanation:

The hypotenuse angle theorem states that - if the hypotenuse and an acute angle of one right triangle are congruent to the hypotenuse and an acute angle of another right triangle, then the two triangles are congruent.

So as per definition, option D is correct.

d. If the hypotenuse and an acute angle of a right triangle are congruent to the corresponding parts of another right triangle, then the triangles are congruent.