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?
reflection over the x - axis
reflection over the y - axis
translation right
translation left

Explanation:

To determine the transformation, we analyze the preimage and image. A reflection over the x - axis flips a figure across the x - axis, so the y - coordinates of the points are negated while the x - coordinates remain the same. Looking at the two lightning - bolt figures, one is above the x - axis and one is below, which is consistent with a reflection over the x - axis. Translation involves moving the figure without flipping, so translation left/right or other translations can be ruled out. Reflection over the y - axis would flip the figure across the y - axis, changing the x - coordinates, which is not the case here.

Answer:

Reflection over the x - axis