Final answer:
The nature of quadrilateral OTNE is a rectangle.
Step-by-step explanation:
The nature of quadrilateral OTNE can be determined by analyzing its properties. Since I is the midpoint of ON and E is the symmetric of T with respect to I, we can conclude that OT = OE and NT = NE. Furthermore, since T is the point where the perpendicular from O intersects MI, we know that angle OTM is a right angle.
Based on these properties, we can conclude that OTNE is a rectangle. In a rectangle, opposite sides are equal in length and all angles are right angles.
Learn more about Quadrilaterals here: