Find the midpoint of the segment with the following endpoints.
(8,-3) and (2,-10)

The midpoint is ( 5,-6.5)

Step-by-step explanation:

Add the x coordinates and divide by 2 to find the x coordinate of the midpoint

( 8+2)/2 = 10/2 =5

Add the y coordinates and divide by 2 to find the y coordinate of the midpoint

( -3+-10)/2 = -13/2 =--6.5

The midpoint is ( 5,-6.5)

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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'.