Two similar triangles are shown on the coordinate grid:
which set of transformations has been performed on triangle mno to form triangle m'n'o'?
dilation by a scale factor of 2 followed by reflection about the x-axis
dilation by a scale factor of fraction 1 over 2 followed by reflection about the x-axis
dilation by a scale factor of 2 followed by reflection about the y-axis
dilation by a scale factor of fraction 1 over 2 followed by reflection about the y-axis

Dilation by a scale factor of fraction 1 over 2 followed by reflection about the y-axis

Step-by-step explanation:

From the given picture, it can be seen that there must be reflection of triangle across y axis, as reflection flips the figure across the line of reflection.

When we flip back the figure, we will get the coordinates of M = (-1,2)

We know that the vertices of a figure (x,y) after dilation with scale factor k will become (kx,ky).

i.e.

From the given picture, in pre-image the x-coordinate of the M =-2

Before reflection across y axis ,

In image, the x-coordinate of M'=-1

Now,

Hence, the set of transformations has been performed on triangle MNO to form triangle M'N'O': Dilation by a scale factor of fraction 1 over 2 followed by reflection about the y-axis.