5. have you ever struggled with something and attempted to improve your ability? if you
succeeded, what steps did you take? if you did not succeed, what obstacles prevented you from
achieving your goal? your example can be related to school, athletics, art, recreation, gaming, or
anything else that required you to try to overcome a challenge.

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'.

good luck on your studies! : )

david edward.

step-by-step explanation:

the shape,the size and the distance