9. we measure time in hours.
suppose 12 noon is represented by the integer 0.
a) which integer represents 1 p. m. the same day?
b) which integer represents 10 a. m. the same day?
c) which integer represents 12 midnight the same day?
d) which integer represents 10 p. m. the previous day?
describe the strategy you used to find the integers.

for a

the integer 1 will be represented by 1 pm the same day

for b

-2 will be represented by 10 am

for C:

12 midnight will be represented by 0

for D:

the integer 10 will be represented by that .

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'.