Jenna is holidaying on the island with her family. they decide to rent a boat from the beach shop to go fishing. at the beach shop, they ask the owner where the best location is to catch fish. he says: "head southeast, about the same distance from the post office to here". if jenna and her family follow the owner's directions, what are the coordinates for the best location to fish
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b. x + 1

step-by-step explanation:

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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'.