Question

Select all of the statements that are accurate with respect to transformations?

1. Transformations are mappings that can change the position, orientation, or size of a figure.
2. The preimage of a transformation and the resulting image are always congruent.
3. Prime notation is used to identify points in the preimage of the transformation.
4. A transformation takes the preimage of the transformation and maps it onto the image.

Answer 1

In mathematics, transformations can change a figure's position, orientation, or size, use the prime notation for preimage points, and map a preimage onto an image. Congruency is not preserved in all transformations.

Step-by-step explanation:

The subject of the question is transformations, specifically in the context of Mathematics. Here are the accurate statements concerning transformations:

1. Transformations are mappings that can change the position, orientation, or size of a figure.
2. Prime notation is used to identify points in the preimage of the transformation.
3. A transformation takes the preimage of the transformation and maps it onto the image.

The second statement is not always true, as some transformations, such as dilations, can change the size of the figure and therefore the preimage and the image are not always congruent. Congruence is preserved in isometries like translations, rotations, and reflections but not in all types of transformations.