## Geometry: Common Core (15th Edition)

Yes, the two triangles are congruent. We can write the congruence statement as follows: $\triangle PML ≅ \triangle NMO$
In these triangles, $\angle NMO$ is a right angle, but we can say that $\angle PML$ is also a right angle because they are vertical angles, and vertical angles are congruent. Additionally, $\overline{ML}$ and $\overline{MO}$ are congruent, and the hypotenuses $\overline{LP}$ and $\overline{ON}$ are also congruent. This means that $\triangle PML ≅ \triangle NMO$ because of the hypotenuse-leg theorem, which states that if one leg and the hypotenuse of a right triangle are congruent to one leg and the hypotenuse of another right triangle, then the triangles are congruent.