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 rotation?
none of these images shows rotation.
image 3 shows the image after the preimage was rotated around the origin.
image 1 shows the image after the preimage was rotated around the origin.
image 2 shows the image after the preimage was rotated around the origin.

Explanation:

To determine the image showing a rigid transformation of rotation, we analyze each option:

• Image 1: Likely a translation (shift) rather than rotation, as the orientation and position change suggest sliding, not rotating around the origin.
• Image 3: Appears to be a reflection or translation, not a rotation around the origin.
• Image 2: When a figure is rotated around the origin, its position and orientation change in a way consistent with rotation. The preimage and Image 2 show the correct rotational transformation (e.g., 90° or 180° rotation around the origin, preserving shape and size—key for rigid transformations).
• "None of these" is incorrect because Image 2 does show a rotation.

Answer:

Image 2 shows the image after the preimage was rotated around the origin. (The option: "Image 2 shows the image after the preimage was rotated around the origin.")