Question

Which statement is true?
A. The altitude drawn to the leg of a right triangle forms two triangles that are similar to each other and to the given triangle.
B. The altitude drawn to the hypotenuse of a right triangle forms two triangles that are similar to each other and to the given triangle.
C. The midsegment drawn to the hypotenuse of a right triangle forms two triangles that are similar to each other and to the given triangle.
D. The altitude drawn to the hypotenuse of an equilateral triangle forms two triangles that are similar to each other and to the given triangle

Answer 1

D. makes no sense at all. An equilateral triangle has no hypotenuse.

C. is obviously not correct unless the right triangle is 45-45-90.

A. An altitude drawn to a leg of a right triangle would follow one side and not divide the triangle at all

What does that leave you with?

Answer 2

Which is the hypotenuse-leg theorem?
A. If the hypotenuse and one leg of a right triangle are similar to the corresponding parts of another right triangle, then the triangles are congruent. B. If the hypotenuse is congruent to the corresponding part of another right triangle, then the triangles are congruent. C. If the hypotenuse and one leg of a right triangle are congruent to the corresponding parts of another right triangle, then the triangles are equilateral. D. If the hypotenuse and one leg of a right triangle are congruent to the corresponding parts of another right triangle, then the triangles are congruent.