Triangle MNO is rotated 180 using the origin as the center of rotation. Which sequence of transformations will produce the same results?

The transformation of the triangle MNO will be first a reflection respect to the x-axis and second a reflection over the y-axis.

Step-by-step explanation:

By definition a coordinate transformation from 180° rotation round the origen can be expressed as:

(x, y) - --> (-x,-y)

On the other hand, the coordinate transformation of the reflection over x - axis is:

(x, y) - --> (x,-y)

And the reflection over the y-axis of the this transformation is:

(x,-y) - --> (-x,-y)

That result the same transformation than the 180° rotation.

180° rotation about the origin changes the signs of the coordinates.

(x, y) → (-x, - y)

It is a reflection over the y-axis and a reflection over the x-axis (in either order).

You did not provide the options so hopefully you can figure out the answer based on the information I provided.