Which is the hypotenuse-angle theorem?

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.

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

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 complimentary.

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 supplementary.

NextReset

A and D are wrong (I believe) because knowing two angles are equal for two right triangles does make the third angle the same too, but, does not say anything for the length of the sides between those angles.

I did some searches, but I did not find any "complementary triangles" or "supplementary triangles".

But complementary angles are angles that add up to 90 degrees, and supplementary angles are angles that add up to 180.

In the triangles given by choices B and C, two of the angles, one from each triangle, can add up to 90 degrees. And four of the angles (not the right angles) could add up to 180 degrees.

So, can your class notes decide the right answer?

Just a guess, but "supplementary" would be my guess. It adds all of the four non-right angles from both triangles.