Question

Which pair of triangles can be proven congruent using the Hypotenuse-Leg Theorem?

a) Two triangles with congruent hypotenuses and legs.
b) Two triangles with congruent hypotenuses and congruent acute angles.
c) Two triangles with congruent hypotenuses and corresponding legs.
d) Two triangles with congruent acute angles and congruent hypotenuses.

Answer 1

The pair of triangles that can be proven congruent using the Hypotenuse-Leg Theorem is two triangles with congruent hypotenuses and corresponding legs.

Step-by-step explanation:

The pair of triangles that can be proven congruent using the Hypotenuse-Leg Theorem is:

c) Two triangles with congruent hypotenuses and corresponding legs.

The Hypotenuse-Leg Theorem states that if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the two triangles are congruent.

For example, if triangle ABC and triangle DEF have the same hypotenuse length and the corresponding corresponding legs are congruent, then triangle ABC is congruent to triangle DEF.