Jonathan’sparents told him that for every 5 hours of homework or reading he completes, hewill be able to play 3 hours of video games. his friend lucas’s parents told their son that he can play 30 minutesfor every hour of homework or reading time he completes. if both boys spend the same amount of time onhomework and reading this week, which boy gets more time playing video gamesand how do you know?

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'.