Which sequence of transformations does NOT preserve concurrency between a pre-image and image?
A
a translation, then a reflection, followed by a rotation
B
a rotation, then a translation, followed by a reflection
C
a reflection, then rotation followed by a reflection
D
a reflection, then rotation, followed by a dilation



Answer :

The sequence of transformations that does NOT preserve concurrency between a pre-image and image is: C) a reflection, then rotation followed by a reflection. Explanation: 1. A reflection changes the orientation of the figure by flipping it over a line. 2. A rotation moves the figure around a fixed point by a certain angle. 3. Another reflection after a rotation can further alter the orientation of the figure. In this sequence (C), the first reflection changes the figure, then the rotation moves it around, and the final reflection can alter the figure again. This series of transformations can disrupt the concurrency between the pre-image and the image, unlike the other sequences provided.