Question

before you continue, we recommend completing the day 2 activities, \practice makes progress\ and \geogebra activity: rigid transformations.\
which image shows the rigid transformation of reflection?
image 2 shows the image after the preimage was reflected over the x - axis.
image 3 shows the image after the preimage was reflected over the y - axis.
image 3 shows the image after the preimage was reflected over the x - axis.
image 1 shows the image after the preimage was reflected over the x - axis.

Explanation:

To determine the reflection, we analyze each option:

• Image 2 over x - axis: A reflection over the x - axis changes the sign of the y - coordinate. Visually, Image 2 does not match the pre - image's reflection over x - axis.
• Image 3 over y - axis: A reflection over the y - axis changes the sign of the x - coordinate. Image 3's orientation doesn't match a y - axis reflection of the pre - image.
• Image 3 over x - axis: Reflecting over x - axis flips the figure vertically. Image 3's appearance doesn't align with this.
• Image 1 over x - axis: When we reflect the pre - image over the x - axis, the vertical position of the figure's parts (like the "L" shape) flips, and Image 1 matches this transformation.

Answer:

Image 1 shows the image after the preimage was reflected over the x - axis.