The information about the points being vertices that make up a line to represent the side of a hexagon is irrelevant, as we are only looking for the distance of a line based on their x and y coordinates.
Look at the point's x and y coordinates:
First point:
x = -5, y = 6
Second point:
x = 5, y = 6
You'll notice that the y-coordinate for both points is the same (6 = 6). This means that the segment created by the points will be horizontal, since there is only movement on the x-axis if you trace the segment from point to point.
To find the distance between the two points, we'll only need to subtract the first point's x-coordinate from the second:
5 - (-5) = 5 + 5 = 10
The answer will be the following statement:
Since the y-coordinates are the same, the segment is horizontal, and the distance between the points is 10 units.
When the dilation is centered on the origin, you can multiply each of the individual coordinates by the scale factor.
All the coordinates are ±5 and the scale factor is 1/5. Multiplying those gives ±1. The only selection with all coordinates being ±1 is
.. Selection A.
You can check to see if the signs agree in detail. (They do.)
They are not the same because one they dont get the same answer and one of the signs are different so it has changed the answer
