You give tours on the great lakes and talk about points of interest. a lighthouse typically has 2 beacons that rotate together—but not necessarily facing opposite directions. in that way, it can be a shorter time between the first and second flashes than between the second flash and the third flash (when the first beacon comes around for the second time). one way of identifying which lighthouse you are looking at is to find the ratio of the short time between flashes to the long time between flashes. if the beacons are set 120° apart along the rotation, as shown below, what is this ratio? a. 1: 120 b. 120: 1 c. 1: 3 d. 3: 1 e. 1: 2

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'.