After training the dogs for two months, a second professional dog trainer is brought in to assess the obedience levels of all the dogs. Assume they are able to do so and can convert their ratings to a 0-100 point scale (treat this as being quantitative and not categorical). A 100 is a perfectly obedient dog. The second dog trainer does not know which dog received the treatment and which received the control.

Graph a triangle (xyz) and reflect it over the line y=x to create triangle x’y’z’. describe the transformation using words. draw a line segment from point x to the reflecting line, and then draw a line segment from point x’ to the reflecting line. what do you notice about the two line segments you drew? do you think you would see the same characteristics if you drew the line segment connecting y with the reflecting line and then y’ with the reflecting line? how do you know?