Short Answer: D
Start with the givens.
MP is the base of an isosceles Δ Given
HM = HP The Triangle is isosceles. Two sides are =
NM = OP Given
NP ⊥ OM Where they meet forms a right angle.
Other things that can be proven.
<NHM = <OHP Lines that are ⊥ form right angles where the lines meet.
Conclusion
We have 2 right angle triangles. They have equal hypotenuses. They have 1 other side that is congruent to a corresponding side of the other triangle
The triangles are congruent by HL
D <<<< Answer