Question

before you continue, we recommend completing the day 2 activities, \practice makes progress\ and \geogebra activity: rigid transformations.\
which of the following best describes the transformation from the preimage to the image?
translation up
dilation to reduce size
reflection over the y - axis
reflection over the x - axis

Explanation:

To determine the transformation, we analyze the preimage (E) and image (E'). A reflection over the y - axis flips a figure across the y - axis. The preimage E and image E' are symmetric with respect to the y - axis. Translation up would move the figure vertically, but here the horizontal symmetry is key. Dilation changes the size, but E and E' are the same size. Reflection over the x - axis would flip across the x - axis, which is not the case here. So the transformation is a reflection over the y - axis.

Answer:

B. Reflection over the y - axis (assuming the option for reflection over the y - axis is labeled as such, in the given options it's the second option: "Reflection over the y - axis")