The graph illustrates a reflection of angel qpr what line is angel qpr reflected across to create q'p'r'

The line y =x  across  which angle QPR is reflected  to create Q'P'R'.

Step-by-step explanation:

We are given that  a triangle PQR whose vertices are P is at (1,-4),Q at (2,-2) and R at (4,-5).

The image of triangle PQR is triangle P'Q'R'  obtained after reflection.

The coordinates of P' is (-4,1).

The coordinates of Q' is (-2,2).

The coordinated of R' is (-5,4).

We have to find the line that is angle QPR reflected across to create Q'P'R'.

We can see that the transformation rule is given by

Therefore, the reflection line y=x across which angle QPR is reflected to create Q'P'R'.

y=x

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'.

answer: #1 ads up by 8 and i don't know #2