Answer: 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. \(k=\dfrac{\text{ x-coordinate of image}}{\text{ x-coordinate of pre-image}}\)
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, \(k=\dfrac{-1}{-2}=\dfrac{1}{2}\)
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.
