What property is demonstrated 4/5+(-4/5)=0

 is the ADDITIVE INVERSE of

and  is the ADDITIVE INVERSE of

Step-by-step explanation:

A number P is said to be the ADDITIVE INVERSE of the quantity Q

if and only if P  + Q   =    0

or if sum of any two terms is equivalent to 0, then they are additive inverse of each other.

here, P is the additive inverse of Q.

and   Q is the additive inverse of P.

Now, here given :

It implies by the definition of additive inverse  that:

 is the ADDITIVE INVERSE of

and  is the ADDITIVE INVERSE of

i am sorry it just submitted an answer but the answer is 365 boys. hopes this

step-by-step explanation:

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'.