Graph a triangle (xyz) and reflect it over the line y=-x to create triangle x'y'z'. part 1: describe the transformation using words. (3 points) part 2: 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? (2 points) part 3: do you think you would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line? how do you know? (3 points)

Graph a triangle (xyz) and reflect it over the line y=-x to create triangle x'y'z'.the representation of this problem is shown in figure 1. so the line of reflection is in red, the triangle  δxyz is in blue and the triangle δx'y'z' is in green.  describe the transformation using words.1) draw the line of reflection.2) count the number of diagonal a point is away from the line of reflection. now go on the other side of the line and count the same number of diagonals. finally, plot the new point.3) repeat the step 2 until the other two points have been reflected.draw a line segment from point x to the reflecting line, and then draw a line segment from point x' to the reflecting line.these steps are shown in figure 2. the  line segment from point x to the reflecting line is shown in pink and the  line segment from point x' to the reflecting line is shown in yellow.what do you notice about the two line segments you drew? by doing the previous steps we can realize that the segment in pink and the segment in yellow have equal length. we can also realize that this is the step 2) of the transformation described above.do you think you would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line?   yes, if we apply our intuition we can assure that the same characteristics will come up. this is true because we have  affirmed that following the previous three steps we can get the transformation for each point.how do you know? the best way to know this is by building up these two segments, so in figure 3 we see that the line segment  connecting y with the reflecting line has been drawn in pink and the line segment  connecting  y' with the reflecting line has been drawn in yellow.

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