A right square prism and a right cylinder have the same height and volume.
What can you conclude about the radius of the cylinder and side lengths of
the square base?

if the right cylinder and right square prism have the same volume, then all of the dimensions must be the same. therefore, the radius of the cylinder and the side lengths of the square base must be the same as well.

Step-by-step explanation:

basically if the volume is the same then the dimensions are the same no matter what so the radius and the square have to be equal if they're the same volume.

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.