Plz!

5. aaliyah said that two numbers can have the same absolute value, but there is no absolute value that represents only one number.
6. rick said that the opposite of a negative number can sometimes be another negative number. is he correct and why?
7. caryn said that the opposite of a negative number will never be another negative number. is she correct and why?

6. false because the opposite of a number is the opposite signed number. Ex. -7 opposite= +7

      7. true because the opposite of a number is the opposite signed number. Ex. -100 opposite= +100

sorry I don't know 5

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'.