Can You guys help me..
The approximate length of side XY is units.( either 3 , 3.16, 4, 4.24)
The approximate length of side YZ is units.( either 3 , 3.16, 4, 4.24)
The approximate length of side ZX is units.( either 3 , 3.16, 4, 4.24)
The approximate perimeter of triangle XYZ is units.( either 9.32,10,10.32,11.4)

i will pick c put check it over to be sure

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'.

we can't see all full 4 options, but if this is the full option, than the very left one is correct:

-2/5 * -3 3/4

remake the question, adding a picture of all the question, or write down the full left and right answers.