Luke plots his favorite places to go in his town on a coordinate plane. his 4 favorite places, the skateboard park, the ice cream shop, the comic book store, and his best friend's house, make a rectangle. the skateboard park is located at the point (-3,5), the ice cream shop at (-3,6), and the comic book store at (4,6). at what point does his best friend live? a) (-3, 4) b) (4, 5) c) (5, 4) d) (5, 6)

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: options

step-by-step explanation: