Question

before you continue, we recommend completing the day 2 activities, \practice makes progress\ and \geogebra activity: rigid transformations.\
which image shows the non - rigid transformation of dilation?
none of these images shows dilation.
image 2 shows the image after the preimage was dilated to a smaller size.
image 1 shows the image after the preimage was dilated to a larger size.
image 3 shows the image after the preimage was dilated to a smaller size.

Explanation:

Dilation is a non - rigid transformation that changes the size of a figure. For a dilation, the shape of the figure remains the same, only the size changes.

• Image 1: It seems to be a rigid transformation (like reflection or rotation) as the size looks the same as the pre - image.
• Image 2: The figure in Image 2 is smaller in size compared to the pre - image, and the shape is preserved, which is consistent with a dilation to a smaller size.
• Image 3: The size change here does not seem to be a dilation (the shape might be distorted in a way that is not consistent with dilation) or the size change is not a simple dilation. And the option about Image 1 being a dilation to a larger size is incorrect as its size is not larger. The "None of these" option is also incorrect as Image 2 shows dilation.

Answer:

Image 2 shows the image after the preimage was dilated to a smaller size.