We can use the hypotenuse-leg theorem to prove that the triangles are congruent.
Work Step by Step
1. One line from one triangle is marked congruent to a line in another triangle. 2. One angle from each triangle is marked as a right angle, so the two right angles are congruent. 3. One line segment is shared by both triangles, so this line is congruent to itself. This line is opposite the right angle in each triangle; therefore, this is the hypotenuse of both triangles. Now, we have one leg and the hypotenuse of one right triangle congruent to a leg and the hypotenuse of another right triangle; therefore, we can use the hypotenuse-leg theorem to prove that the triangles are congruent.