Answer:
Every point is moved so that it is 1/2 as far from the x-axis.
Explanation:
Let's go down the list:
- Every point is moved to the opposite side of the y-axis but still the same distance from the y-axis.
This is describing a reflection across the y-axis. Reflection is one of the congruence transformations, so therefore, the figure resulting by this transformation will still be congruent to the original.
- Every point is moved 2 units right and 5 units up.
Every point is being moved the same exact distance, so therefore, the figure will remain congruent. This is similar to translation, but all the points are being translated.
- Every point is moved 1 unit to the left
This is similar to the last one, it's just translation, which is also a congruence transformation.
- Every point is moved so that it is 1/2 as far from the x-axis.
This is basically dilation. Dilation is a similarity transformation, but it changes the size of the figure. Therefore, this is the one that will result in a non-congruent figure.
Hope this helps :)